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Finding the Fourth Proportional to 916.16, 1,265.40 and 667.08

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Solution

The fourth proportional to 916.16, 1,265.40 and 667.08 is: 921.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.16 : 1,265.40 = 667.08 : x
  2. Step 2: Convert to fraction form
    916.16/1,265.40 = 667.08/x
  3. Step 3: Cross multiply
    916.16x = 1,265.40 × 667.08
  4. Step 4: Simplify right side
    916.16x = 844,123.03
  5. Step 5: Solve for x
    x = 844,123.03/916.16
  6. Step 6: Final answer
    x = 921.38

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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.