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Finding the Fourth Proportional to 864.80, 1,193.29 and 533.33

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Solution

The fourth proportional to 864.80, 1,193.29 and 533.33 is: 735.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.80 : 1,193.29 = 533.33 : x
  2. Step 2: Convert to fraction form
    864.80/1,193.29 = 533.33/x
  3. Step 3: Cross multiply
    864.80x = 1,193.29 × 533.33
  4. Step 4: Simplify right side
    864.80x = 636,417.67
  5. Step 5: Solve for x
    x = 636,417.67/864.80
  6. Step 6: Final answer
    x = 735.92

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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.