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Finding the Fourth Proportional to 653.67, 902.12 and 476.69

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Solution

The fourth proportional to 653.67, 902.12 and 476.69 is: 657.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.67 : 902.12 = 476.69 : x
  2. Step 2: Convert to fraction form
    653.67/902.12 = 476.69/x
  3. Step 3: Cross multiply
    653.67x = 902.12 × 476.69
  4. Step 4: Simplify right side
    653.67x = 430,031.58
  5. Step 5: Solve for x
    x = 430,031.58/653.67
  6. Step 6: Final answer
    x = 657.87

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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.