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Finding the Fourth Proportional to 1,036.43, 1,557.14 and 666.95

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Solution

The fourth proportional to 1,036.43, 1,557.14 and 666.95 is: 1,002.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.43 : 1,557.14 = 666.95 : x
  2. Step 2: Convert to fraction form
    1,036.43/1,557.14 = 666.95/x
  3. Step 3: Cross multiply
    1,036.43x = 1,557.14 × 666.95
  4. Step 4: Simplify right side
    1,036.43x = 1,038,523.40
  5. Step 5: Solve for x
    x = 1,038,523.40/1,036.43
  6. Step 6: Final answer
    x = 1,002.02

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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.