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Finding the Fourth Proportional to 922.47, 1,382.63 and 647.07

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Solution

The fourth proportional to 922.47, 1,382.63 and 647.07 is: 969.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.47 : 1,382.63 = 647.07 : x
  2. Step 2: Convert to fraction form
    922.47/1,382.63 = 647.07/x
  3. Step 3: Cross multiply
    922.47x = 1,382.63 × 647.07
  4. Step 4: Simplify right side
    922.47x = 894,655.16
  5. Step 5: Solve for x
    x = 894,655.16/922.47
  6. Step 6: Final answer
    x = 969.85

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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.