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Finding the Fourth Proportional to 921.34, 1,381.68 and 647.32

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Solution

The fourth proportional to 921.34, 1,381.68 and 647.32 is: 970.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.34 : 1,381.68 = 647.32 : x
  2. Step 2: Convert to fraction form
    921.34/1,381.68 = 647.32/x
  3. Step 3: Cross multiply
    921.34x = 1,381.68 × 647.32
  4. Step 4: Simplify right side
    921.34x = 894,389.10
  5. Step 5: Solve for x
    x = 894,389.10/921.34
  6. Step 6: Final answer
    x = 970.75

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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.