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Finding the Fourth Proportional to 580.86, 870.50 and 320.47

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Solution

The fourth proportional to 580.86, 870.50 and 320.47 is: 480.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.86 : 870.50 = 320.47 : x
  2. Step 2: Convert to fraction form
    580.86/870.50 = 320.47/x
  3. Step 3: Cross multiply
    580.86x = 870.50 × 320.47
  4. Step 4: Simplify right side
    580.86x = 278,963.18
  5. Step 5: Solve for x
    x = 278,963.18/580.86
  6. Step 6: Final answer
    x = 480.26

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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.