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Finding the Fourth Proportional to 513.41, 708.14 and 435.24

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Solution

The fourth proportional to 513.41, 708.14 and 435.24 is: 600.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.41 : 708.14 = 435.24 : x
  2. Step 2: Convert to fraction form
    513.41/708.14 = 435.24/x
  3. Step 3: Cross multiply
    513.41x = 708.14 × 435.24
  4. Step 4: Simplify right side
    513.41x = 308,211.94
  5. Step 5: Solve for x
    x = 308,211.94/513.41
  6. Step 6: Final answer
    x = 600.33

Related Problems

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Half scale
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Double scale
Find fourth proportional to 514.41, 709.52 and 436.24
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.