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Finding the Fourth Proportional to 926.97, 1,390.88 and 734.01

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Solution

The fourth proportional to 926.97, 1,390.88 and 734.01 is: 1,101.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.97 : 1,390.88 = 734.01 : x
  2. Step 2: Convert to fraction form
    926.97/1,390.88 = 734.01/x
  3. Step 3: Cross multiply
    926.97x = 1,390.88 × 734.01
  4. Step 4: Simplify right side
    926.97x = 1,020,919.83
  5. Step 5: Solve for x
    x = 1,020,919.83/926.97
  6. Step 6: Final answer
    x = 1,101.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.