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Finding the Fourth Proportional to 583.13, 870.78 and 480.12

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Solution

The fourth proportional to 583.13, 870.78 and 480.12 is: 716.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.13 : 870.78 = 480.12 : x
  2. Step 2: Convert to fraction form
    583.13/870.78 = 480.12/x
  3. Step 3: Cross multiply
    583.13x = 870.78 × 480.12
  4. Step 4: Simplify right side
    583.13x = 418,078.89
  5. Step 5: Solve for x
    x = 418,078.89/583.13
  6. Step 6: Final answer
    x = 716.96

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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.