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Finding the Fourth Proportional to 690.90, 1,032.36 and 581.55

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Solution

The fourth proportional to 690.90, 1,032.36 and 581.55 is: 868.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.90 : 1,032.36 = 581.55 : x
  2. Step 2: Convert to fraction form
    690.90/1,032.36 = 581.55/x
  3. Step 3: Cross multiply
    690.90x = 1,032.36 × 581.55
  4. Step 4: Simplify right side
    690.90x = 600,376.11
  5. Step 5: Solve for x
    x = 600,376.11/690.90
  6. Step 6: Final answer
    x = 868.97

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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.