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Finding the Fourth Proportional to 864.76, 1,193.78 and 533.46

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Solution

The fourth proportional to 864.76, 1,193.78 and 533.46 is: 736.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.76 : 1,193.78 = 533.46 : x
  2. Step 2: Convert to fraction form
    864.76/1,193.78 = 533.46/x
  3. Step 3: Cross multiply
    864.76x = 1,193.78 × 533.46
  4. Step 4: Simplify right side
    864.76x = 636,833.88
  5. Step 5: Solve for x
    x = 636,833.88/864.76
  6. Step 6: Final answer
    x = 736.43

Related Problems

Find fourth proportional to 432.38, 596.89 and 266.73
Half scale
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Double scale
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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.