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Finding the Fourth Proportional to 614.75, 847.03 and 417.92

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Solution

The fourth proportional to 614.75, 847.03 and 417.92 is: 575.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.75 : 847.03 = 417.92 : x
  2. Step 2: Convert to fraction form
    614.75/847.03 = 417.92/x
  3. Step 3: Cross multiply
    614.75x = 847.03 × 417.92
  4. Step 4: Simplify right side
    614.75x = 353,990.78
  5. Step 5: Solve for x
    x = 353,990.78/614.75
  6. Step 6: Final answer
    x = 575.83

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Find fourth proportional to 307.38, 423.52 and 208.96
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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.