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Finding the Fourth Proportional to 887.51, 1,223.75 and 747.42

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Solution

The fourth proportional to 887.51, 1,223.75 and 747.42 is: 1,030.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.51 : 1,223.75 = 747.42 : x
  2. Step 2: Convert to fraction form
    887.51/1,223.75 = 747.42/x
  3. Step 3: Cross multiply
    887.51x = 1,223.75 × 747.42
  4. Step 4: Simplify right side
    887.51x = 914,655.23
  5. Step 5: Solve for x
    x = 914,655.23/887.51
  6. Step 6: Final answer
    x = 1,030.59

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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.