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Finding the Fourth Proportional to 584.73, 877.78 and 410.68

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Solution

The fourth proportional to 584.73, 877.78 and 410.68 is: 616.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.73 : 877.78 = 410.68 : x
  2. Step 2: Convert to fraction form
    584.73/877.78 = 410.68/x
  3. Step 3: Cross multiply
    584.73x = 877.78 × 410.68
  4. Step 4: Simplify right side
    584.73x = 360,486.69
  5. Step 5: Solve for x
    x = 360,486.69/584.73
  6. Step 6: Final answer
    x = 616.50

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.