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Finding the Fourth Proportional to 690.80, 1,031.84 and 581.45

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Solution

The fourth proportional to 690.80, 1,031.84 and 581.45 is: 868.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.80 : 1,031.84 = 581.45 : x
  2. Step 2: Convert to fraction form
    690.80/1,031.84 = 581.45/x
  3. Step 3: Cross multiply
    690.80x = 1,031.84 × 581.45
  4. Step 4: Simplify right side
    690.80x = 599,957.48
  5. Step 5: Solve for x
    x = 599,957.48/690.80
  6. Step 6: Final answer
    x = 868.50

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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.