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Finding the Fourth Proportional to 510.20, 760.87 and 497.78

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Solution

The fourth proportional to 510.20, 760.87 and 497.78 is: 742.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.20 : 760.87 = 497.78 : x
  2. Step 2: Convert to fraction form
    510.20/760.87 = 497.78/x
  3. Step 3: Cross multiply
    510.20x = 760.87 × 497.78
  4. Step 4: Simplify right side
    510.20x = 378,742.06
  5. Step 5: Solve for x
    x = 378,742.06/510.20
  6. Step 6: Final answer
    x = 742.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.