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Finding the Fourth Proportional to 510.56, 766.13 and 424.93

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Solution

The fourth proportional to 510.56, 766.13 and 424.93 is: 637.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.56 : 766.13 = 424.93 : x
  2. Step 2: Convert to fraction form
    510.56/766.13 = 424.93/x
  3. Step 3: Cross multiply
    510.56x = 766.13 × 424.93
  4. Step 4: Simplify right side
    510.56x = 325,554.76
  5. Step 5: Solve for x
    x = 325,554.76/510.56
  6. Step 6: Final answer
    x = 637.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.