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Finding the Fourth Proportional to 510.90, 761.45 and 499.92

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Solution

The fourth proportional to 510.90, 761.45 and 499.92 is: 745.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.90 : 761.45 = 499.92 : x
  2. Step 2: Convert to fraction form
    510.90/761.45 = 499.92/x
  3. Step 3: Cross multiply
    510.90x = 761.45 × 499.92
  4. Step 4: Simplify right side
    510.90x = 380,661.58
  5. Step 5: Solve for x
    x = 380,661.58/510.90
  6. Step 6: Final answer
    x = 745.08

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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.