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Finding the Fourth Proportional to 665.12, 916.02 and 650.76

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Solution

The fourth proportional to 665.12, 916.02 and 650.76 is: 896.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.12 : 916.02 = 650.76 : x
  2. Step 2: Convert to fraction form
    665.12/916.02 = 650.76/x
  3. Step 3: Cross multiply
    665.12x = 916.02 × 650.76
  4. Step 4: Simplify right side
    665.12x = 596,109.18
  5. Step 5: Solve for x
    x = 596,109.18/665.12
  6. Step 6: Final answer
    x = 896.24

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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.