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Finding the Fourth Proportional to 933.32, 1,288.31 and 597.48

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Solution

The fourth proportional to 933.32, 1,288.31 and 597.48 is: 824.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.32 : 1,288.31 = 597.48 : x
  2. Step 2: Convert to fraction form
    933.32/1,288.31 = 597.48/x
  3. Step 3: Cross multiply
    933.32x = 1,288.31 × 597.48
  4. Step 4: Simplify right side
    933.32x = 769,731.64
  5. Step 5: Solve for x
    x = 769,731.64/933.32
  6. Step 6: Final answer
    x = 824.72

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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.