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Finding the Fourth Proportional to 802.92, 1,108.50 and 592.68

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Solution

The fourth proportional to 802.92, 1,108.50 and 592.68 is: 818.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.92 : 1,108.50 = 592.68 : x
  2. Step 2: Convert to fraction form
    802.92/1,108.50 = 592.68/x
  3. Step 3: Cross multiply
    802.92x = 1,108.50 × 592.68
  4. Step 4: Simplify right side
    802.92x = 656,985.78
  5. Step 5: Solve for x
    x = 656,985.78/802.92
  6. Step 6: Final answer
    x = 818.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.