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Finding the Fourth Proportional to 971.53, 1,456.89 and 922.93

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Solution

The fourth proportional to 971.53, 1,456.89 and 922.93 is: 1,384.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.53 : 1,456.89 = 922.93 : x
  2. Step 2: Convert to fraction form
    971.53/1,456.89 = 922.93/x
  3. Step 3: Cross multiply
    971.53x = 1,456.89 × 922.93
  4. Step 4: Simplify right side
    971.53x = 1,344,607.49
  5. Step 5: Solve for x
    x = 1,344,607.49/971.53
  6. Step 6: Final answer
    x = 1,384.01

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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.