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Finding the Fourth Proportional to 1,572.56, 2,358.08 and 647.44

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Solution

The fourth proportional to 1,572.56, 2,358.08 and 647.44 is: 970.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,572.56 : 2,358.08 = 647.44 : x
  2. Step 2: Convert to fraction form
    1,572.56/2,358.08 = 647.44/x
  3. Step 3: Cross multiply
    1,572.56x = 2,358.08 × 647.44
  4. Step 4: Simplify right side
    1,572.56x = 1,526,715.32
  5. Step 5: Solve for x
    x = 1,526,715.32/1,572.56
  6. Step 6: Final answer
    x = 970.85

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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.