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Finding the Fourth Proportional to 610.76, 842.70 and 414.20

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Solution

The fourth proportional to 610.76, 842.70 and 414.20 is: 571.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.76 : 842.70 = 414.20 : x
  2. Step 2: Convert to fraction form
    610.76/842.70 = 414.20/x
  3. Step 3: Cross multiply
    610.76x = 842.70 × 414.20
  4. Step 4: Simplify right side
    610.76x = 349,046.34
  5. Step 5: Solve for x
    x = 349,046.34/610.76
  6. Step 6: Final answer
    x = 571.50

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Find fourth proportional to 305.38, 421.35 and 207.10
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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.