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Finding the Fourth Proportional to 508.71, 693.10 and 497.43

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Solution

The fourth proportional to 508.71, 693.10 and 497.43 is: 677.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.71 : 693.10 = 497.43 : x
  2. Step 2: Convert to fraction form
    508.71/693.10 = 497.43/x
  3. Step 3: Cross multiply
    508.71x = 693.10 × 497.43
  4. Step 4: Simplify right side
    508.71x = 344,768.73
  5. Step 5: Solve for x
    x = 344,768.73/508.71
  6. Step 6: Final answer
    x = 677.73

Related Problems

Find fourth proportional to 254.36, 346.55 and 248.72
Half scale
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Double scale
Find fourth proportional to 509.71, 694.46 and 498.43
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.