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Finding the Fourth Proportional to 560.76, 772.50 and 394.66

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Solution

The fourth proportional to 560.76, 772.50 and 394.66 is: 543.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.76 : 772.50 = 394.66 : x
  2. Step 2: Convert to fraction form
    560.76/772.50 = 394.66/x
  3. Step 3: Cross multiply
    560.76x = 772.50 × 394.66
  4. Step 4: Simplify right side
    560.76x = 304,874.85
  5. Step 5: Solve for x
    x = 304,874.85/560.76
  6. Step 6: Final answer
    x = 543.68

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Find fourth proportional to 280.38, 386.25 and 197.33
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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.