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Finding the Fourth Proportional to 987.83, 1,363.61 and 594.89

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Solution

The fourth proportional to 987.83, 1,363.61 and 594.89 is: 821.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.83 : 1,363.61 = 594.89 : x
  2. Step 2: Convert to fraction form
    987.83/1,363.61 = 594.89/x
  3. Step 3: Cross multiply
    987.83x = 1,363.61 × 594.89
  4. Step 4: Simplify right side
    987.83x = 811,192.62
  5. Step 5: Solve for x
    x = 811,192.62/987.83
  6. Step 6: Final answer
    x = 821.19

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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.