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Finding the Fourth Proportional to 876.05, 1,307.76 and 745.17

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Solution

The fourth proportional to 876.05, 1,307.76 and 745.17 is: 1,112.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.05 : 1,307.76 = 745.17 : x
  2. Step 2: Convert to fraction form
    876.05/1,307.76 = 745.17/x
  3. Step 3: Cross multiply
    876.05x = 1,307.76 × 745.17
  4. Step 4: Simplify right side
    876.05x = 974,507.90
  5. Step 5: Solve for x
    x = 974,507.90/876.05
  6. Step 6: Final answer
    x = 1,112.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.