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Finding the Fourth Proportional to 580.80, 865.08 and 578.16

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Solution

The fourth proportional to 580.80, 865.08 and 578.16 is: 861.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.80 : 865.08 = 578.16 : x
  2. Step 2: Convert to fraction form
    580.80/865.08 = 578.16/x
  3. Step 3: Cross multiply
    580.80x = 865.08 × 578.16
  4. Step 4: Simplify right side
    580.80x = 500,154.65
  5. Step 5: Solve for x
    x = 500,154.65/580.80
  6. Step 6: Final answer
    x = 861.15

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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.