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Finding the Fourth Proportional to 513.24, 708.24 and 316.76

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Solution

The fourth proportional to 513.24, 708.24 and 316.76 is: 437.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.24 : 708.24 = 316.76 : x
  2. Step 2: Convert to fraction form
    513.24/708.24 = 316.76/x
  3. Step 3: Cross multiply
    513.24x = 708.24 × 316.76
  4. Step 4: Simplify right side
    513.24x = 224,342.10
  5. Step 5: Solve for x
    x = 224,342.10/513.24
  6. Step 6: Final answer
    x = 437.11

Related Problems

Find fourth proportional to 256.62, 354.12 and 158.38
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Double scale
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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.