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Finding the Fourth Proportional to 916.36, 1,374.06 and 656.20

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Solution

The fourth proportional to 916.36, 1,374.06 and 656.20 is: 983.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.36 : 1,374.06 = 656.20 : x
  2. Step 2: Convert to fraction form
    916.36/1,374.06 = 656.20/x
  3. Step 3: Cross multiply
    916.36x = 1,374.06 × 656.20
  4. Step 4: Simplify right side
    916.36x = 901,658.17
  5. Step 5: Solve for x
    x = 901,658.17/916.36
  6. Step 6: Final answer
    x = 983.96

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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.