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Finding the Fourth Proportional to 1,403.54, 1,938.18 and 907.04

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Solution

The fourth proportional to 1,403.54, 1,938.18 and 907.04 is: 1,252.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.54 : 1,938.18 = 907.04 : x
  2. Step 2: Convert to fraction form
    1,403.54/1,938.18 = 907.04/x
  3. Step 3: Cross multiply
    1,403.54x = 1,938.18 × 907.04
  4. Step 4: Simplify right side
    1,403.54x = 1,758,006.79
  5. Step 5: Solve for x
    x = 1,758,006.79/1,403.54
  6. Step 6: Final answer
    x = 1,252.55

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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.