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Finding the Fourth Proportional to 916.25, 1,263.47 and 706.46

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Solution

The fourth proportional to 916.25, 1,263.47 and 706.46 is: 974.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.25 : 1,263.47 = 706.46 : x
  2. Step 2: Convert to fraction form
    916.25/1,263.47 = 706.46/x
  3. Step 3: Cross multiply
    916.25x = 1,263.47 × 706.46
  4. Step 4: Simplify right side
    916.25x = 892,581.17
  5. Step 5: Solve for x
    x = 892,581.17/916.25
  6. Step 6: Final answer
    x = 974.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.