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Finding the Fourth Proportional to 510.30, 761.24 and 458.36

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Solution

The fourth proportional to 510.30, 761.24 and 458.36 is: 683.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.30 : 761.24 = 458.36 : x
  2. Step 2: Convert to fraction form
    510.30/761.24 = 458.36/x
  3. Step 3: Cross multiply
    510.30x = 761.24 × 458.36
  4. Step 4: Simplify right side
    510.30x = 348,918.94
  5. Step 5: Solve for x
    x = 348,918.94/510.30
  6. Step 6: Final answer
    x = 683.75

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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.