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Finding the Fourth Proportional to 916.42, 1,373.55 and 656.14

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Solution

The fourth proportional to 916.42, 1,373.55 and 656.14 is: 983.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.42 : 1,373.55 = 656.14 : x
  2. Step 2: Convert to fraction form
    916.42/1,373.55 = 656.14/x
  3. Step 3: Cross multiply
    916.42x = 1,373.55 × 656.14
  4. Step 4: Simplify right side
    916.42x = 901,241.10
  5. Step 5: Solve for x
    x = 901,241.10/916.42
  6. Step 6: Final answer
    x = 983.44

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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.