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Finding the Fourth Proportional to 517.32, 713.70 and 320.76

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Solution

The fourth proportional to 517.32, 713.70 and 320.76 is: 442.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.32 : 713.70 = 320.76 : x
  2. Step 2: Convert to fraction form
    517.32/713.70 = 320.76/x
  3. Step 3: Cross multiply
    517.32x = 713.70 × 320.76
  4. Step 4: Simplify right side
    517.32x = 228,926.41
  5. Step 5: Solve for x
    x = 228,926.41/517.32
  6. Step 6: Final answer
    x = 442.52

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Find fourth proportional to 258.66, 356.85 and 160.38
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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.