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Finding the Fourth Proportional to 946.92, 1,307.12 and 916.16

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Solution

The fourth proportional to 946.92, 1,307.12 and 916.16 is: 1,264.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.92 : 1,307.12 = 916.16 : x
  2. Step 2: Convert to fraction form
    946.92/1,307.12 = 916.16/x
  3. Step 3: Cross multiply
    946.92x = 1,307.12 × 916.16
  4. Step 4: Simplify right side
    946.92x = 1,197,531.06
  5. Step 5: Solve for x
    x = 1,197,531.06/946.92
  6. Step 6: Final answer
    x = 1,264.66

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Half scale
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Double scale
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1.5x scale

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.