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Finding the Fourth Proportional to 1,557.51, 2,332.92 and 734.55

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Solution

The fourth proportional to 1,557.51, 2,332.92 and 734.55 is: 1,100.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,557.51 : 2,332.92 = 734.55 : x
  2. Step 2: Convert to fraction form
    1,557.51/2,332.92 = 734.55/x
  3. Step 3: Cross multiply
    1,557.51x = 2,332.92 × 734.55
  4. Step 4: Simplify right side
    1,557.51x = 1,713,647.01
  5. Step 5: Solve for x
    x = 1,713,647.01/1,557.51
  6. Step 6: Final answer
    x = 1,100.25

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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.