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Finding the Fourth Proportional to 537.87, 802.46 and 459.93

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Solution

The fourth proportional to 537.87, 802.46 and 459.93 is: 686.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.87 : 802.46 = 459.93 : x
  2. Step 2: Convert to fraction form
    537.87/802.46 = 459.93/x
  3. Step 3: Cross multiply
    537.87x = 802.46 × 459.93
  4. Step 4: Simplify right side
    537.87x = 369,073.13
  5. Step 5: Solve for x
    x = 369,073.13/537.87
  6. Step 6: Final answer
    x = 686.18

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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.