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Finding the Fourth Proportional to 879.84, 1,319.76 and 605.12

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Solution

The fourth proportional to 879.84, 1,319.76 and 605.12 is: 907.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.84 : 1,319.76 = 605.12 : x
  2. Step 2: Convert to fraction form
    879.84/1,319.76 = 605.12/x
  3. Step 3: Cross multiply
    879.84x = 1,319.76 × 605.12
  4. Step 4: Simplify right side
    879.84x = 798,613.17
  5. Step 5: Solve for x
    x = 798,613.17/879.84
  6. Step 6: Final answer
    x = 907.68

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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.