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Finding the Fourth Proportional to 653.38, 902.10 and 503.73

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Solution

The fourth proportional to 653.38, 902.10 and 503.73 is: 695.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.38 : 902.10 = 503.73 : x
  2. Step 2: Convert to fraction form
    653.38/902.10 = 503.73/x
  3. Step 3: Cross multiply
    653.38x = 902.10 × 503.73
  4. Step 4: Simplify right side
    653.38x = 454,410.32
  5. Step 5: Solve for x
    x = 454,410.32/653.38
  6. Step 6: Final answer
    x = 695.48

Related Problems

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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.