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Finding the Fourth Proportional to 933.18, 1,287.46 and 653.32

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Solution

The fourth proportional to 933.18, 1,287.46 and 653.32 is: 901.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.18 : 1,287.46 = 653.32 : x
  2. Step 2: Convert to fraction form
    933.18/1,287.46 = 653.32/x
  3. Step 3: Cross multiply
    933.18x = 1,287.46 × 653.32
  4. Step 4: Simplify right side
    933.18x = 841,123.37
  5. Step 5: Solve for x
    x = 841,123.37/933.18
  6. Step 6: Final answer
    x = 901.35

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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.