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Finding the Fourth Proportional to 510.90, 764.53 and 476.58

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Solution

The fourth proportional to 510.90, 764.53 and 476.58 is: 713.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.90 : 764.53 = 476.58 : x
  2. Step 2: Convert to fraction form
    510.90/764.53 = 476.58/x
  3. Step 3: Cross multiply
    510.90x = 764.53 × 476.58
  4. Step 4: Simplify right side
    510.90x = 364,359.71
  5. Step 5: Solve for x
    x = 364,359.71/510.90
  6. Step 6: Final answer
    x = 713.17

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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.