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Finding the Fourth Proportional to 1,060.59, 1,587.20 and 643.88

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Solution

The fourth proportional to 1,060.59, 1,587.20 and 643.88 is: 963.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.59 : 1,587.20 = 643.88 : x
  2. Step 2: Convert to fraction form
    1,060.59/1,587.20 = 643.88/x
  3. Step 3: Cross multiply
    1,060.59x = 1,587.20 × 643.88
  4. Step 4: Simplify right side
    1,060.59x = 1,021,955.18
  5. Step 5: Solve for x
    x = 1,021,955.18/1,060.59
  6. Step 6: Final answer
    x = 963.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.