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Finding the Fourth Proportional to 1,089.83, 1,503.96 and 592.47

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Solution

The fourth proportional to 1,089.83, 1,503.96 and 592.47 is: 817.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.83 : 1,503.96 = 592.47 : x
  2. Step 2: Convert to fraction form
    1,089.83/1,503.96 = 592.47/x
  3. Step 3: Cross multiply
    1,089.83x = 1,503.96 × 592.47
  4. Step 4: Simplify right side
    1,089.83x = 891,051.18
  5. Step 5: Solve for x
    x = 891,051.18/1,089.83
  6. Step 6: Final answer
    x = 817.61

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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.