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Finding the Fourth Proportional to 864.76, 1,192.98 and 533.20

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Solution

The fourth proportional to 864.76, 1,192.98 and 533.20 is: 735.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.76 : 1,192.98 = 533.20 : x
  2. Step 2: Convert to fraction form
    864.76/1,192.98 = 533.20/x
  3. Step 3: Cross multiply
    864.76x = 1,192.98 × 533.20
  4. Step 4: Simplify right side
    864.76x = 636,096.94
  5. Step 5: Solve for x
    x = 636,096.94/864.76
  6. Step 6: Final answer
    x = 735.58

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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.