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Finding the Fourth Proportional to 626.76, 865.64 and 429.92

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Solution

The fourth proportional to 626.76, 865.64 and 429.92 is: 593.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.76 : 865.64 = 429.92 : x
  2. Step 2: Convert to fraction form
    626.76/865.64 = 429.92/x
  3. Step 3: Cross multiply
    626.76x = 865.64 × 429.92
  4. Step 4: Simplify right side
    626.76x = 372,155.95
  5. Step 5: Solve for x
    x = 372,155.95/626.76
  6. Step 6: Final answer
    x = 593.78

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Find fourth proportional to 313.38, 432.82 and 214.96
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.