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Finding the Fourth Proportional to 1,113.90, 1,678.40 and 923.13

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Solution

The fourth proportional to 1,113.90, 1,678.40 and 923.13 is: 1,390.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.90 : 1,678.40 = 923.13 : x
  2. Step 2: Convert to fraction form
    1,113.90/1,678.40 = 923.13/x
  3. Step 3: Cross multiply
    1,113.90x = 1,678.40 × 923.13
  4. Step 4: Simplify right side
    1,113.90x = 1,549,376.78
  5. Step 5: Solve for x
    x = 1,549,376.78/1,113.90
  6. Step 6: Final answer
    x = 1,390.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.