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Finding the Fourth Proportional to 864.95, 1,193.57 and 533.30

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Solution

The fourth proportional to 864.95, 1,193.57 and 533.30 is: 735.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.95 : 1,193.57 = 533.30 : x
  2. Step 2: Convert to fraction form
    864.95/1,193.57 = 533.30/x
  3. Step 3: Cross multiply
    864.95x = 1,193.57 × 533.30
  4. Step 4: Simplify right side
    864.95x = 636,522.25
  5. Step 5: Solve for x
    x = 636,522.25/864.95
  6. Step 6: Final answer
    x = 735.91

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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.