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Finding the Fourth Proportional to 580.51, 800.77 and 414.95

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Solution

The fourth proportional to 580.51, 800.77 and 414.95 is: 572.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.51 : 800.77 = 414.95 : x
  2. Step 2: Convert to fraction form
    580.51/800.77 = 414.95/x
  3. Step 3: Cross multiply
    580.51x = 800.77 × 414.95
  4. Step 4: Simplify right side
    580.51x = 332,279.51
  5. Step 5: Solve for x
    x = 332,279.51/580.51
  6. Step 6: Final answer
    x = 572.39

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Similar ratio
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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.