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Finding the Fourth Proportional to 1,572.18, 2,358.20 and 647.50

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Solution

The fourth proportional to 1,572.18, 2,358.20 and 647.50 is: 971.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,572.18 : 2,358.20 = 647.50 : x
  2. Step 2: Convert to fraction form
    1,572.18/2,358.20 = 647.50/x
  3. Step 3: Cross multiply
    1,572.18x = 2,358.20 × 647.50
  4. Step 4: Simplify right side
    1,572.18x = 1,526,934.50
  5. Step 5: Solve for x
    x = 1,526,934.50/1,572.18
  6. Step 6: Final answer
    x = 971.22

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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.