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Finding the Fourth Proportional to 500.77, 691.01 and 290.89

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Solution

The fourth proportional to 500.77, 691.01 and 290.89 is: 401.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.77 : 691.01 = 290.89 : x
  2. Step 2: Convert to fraction form
    500.77/691.01 = 290.89/x
  3. Step 3: Cross multiply
    500.77x = 691.01 × 290.89
  4. Step 4: Simplify right side
    500.77x = 201,008.17
  5. Step 5: Solve for x
    x = 201,008.17/500.77
  6. Step 6: Final answer
    x = 401.40

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Find fourth proportional to 250.38, 345.50 and 145.45
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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.