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Finding the Fourth Proportional to 666.52, 916.74 and 535.24

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Solution

The fourth proportional to 666.52, 916.74 and 535.24 is: 736.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.52 : 916.74 = 535.24 : x
  2. Step 2: Convert to fraction form
    666.52/916.74 = 535.24/x
  3. Step 3: Cross multiply
    666.52x = 916.74 × 535.24
  4. Step 4: Simplify right side
    666.52x = 490,675.92
  5. Step 5: Solve for x
    x = 490,675.92/666.52
  6. Step 6: Final answer
    x = 736.18

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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.