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Finding the Fourth Proportional to 1,187.61, 1,637.94 and 907.40

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Solution

The fourth proportional to 1,187.61, 1,637.94 and 907.40 is: 1,251.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.61 : 1,637.94 = 907.40 : x
  2. Step 2: Convert to fraction form
    1,187.61/1,637.94 = 907.40/x
  3. Step 3: Cross multiply
    1,187.61x = 1,637.94 × 907.40
  4. Step 4: Simplify right side
    1,187.61x = 1,486,264.49
  5. Step 5: Solve for x
    x = 1,486,264.49/1,187.61
  6. Step 6: Final answer
    x = 1,251.48

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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.