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Finding the Fourth Proportional to 932.40, 1,390.38 and 880.56

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Solution

The fourth proportional to 932.40, 1,390.38 and 880.56 is: 1,313.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.40 : 1,390.38 = 880.56 : x
  2. Step 2: Convert to fraction form
    932.40/1,390.38 = 880.56/x
  3. Step 3: Cross multiply
    932.40x = 1,390.38 × 880.56
  4. Step 4: Simplify right side
    932.40x = 1,224,313.01
  5. Step 5: Solve for x
    x = 1,224,313.01/932.40
  6. Step 6: Final answer
    x = 1,313.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.