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Finding the Fourth Proportional to 514.69, 710.19 and 304.84

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Solution

The fourth proportional to 514.69, 710.19 and 304.84 is: 420.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.69 : 710.19 = 304.84 : x
  2. Step 2: Convert to fraction form
    514.69/710.19 = 304.84/x
  3. Step 3: Cross multiply
    514.69x = 710.19 × 304.84
  4. Step 4: Simplify right side
    514.69x = 216,494.32
  5. Step 5: Solve for x
    x = 216,494.32/514.69
  6. Step 6: Final answer
    x = 420.63

Related Problems

Find fourth proportional to 257.35, 355.10 and 152.42
Half scale
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Double scale
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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.