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Finding the Fourth Proportional to 876.37, 1,308.14 and 772.58

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Solution

The fourth proportional to 876.37, 1,308.14 and 772.58 is: 1,153.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.37 : 1,308.14 = 772.58 : x
  2. Step 2: Convert to fraction form
    876.37/1,308.14 = 772.58/x
  3. Step 3: Cross multiply
    876.37x = 1,308.14 × 772.58
  4. Step 4: Simplify right side
    876.37x = 1,010,632.40
  5. Step 5: Solve for x
    x = 1,010,632.40/876.37
  6. Step 6: Final answer
    x = 1,153.21

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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.