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Finding the Fourth Proportional to 580.49, 870.88 and 288.13

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Solution

The fourth proportional to 580.49, 870.88 and 288.13 is: 432.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.49 : 870.88 = 288.13 : x
  2. Step 2: Convert to fraction form
    580.49/870.88 = 288.13/x
  3. Step 3: Cross multiply
    580.49x = 870.88 × 288.13
  4. Step 4: Simplify right side
    580.49x = 250,927.01
  5. Step 5: Solve for x
    x = 250,927.01/580.49
  6. Step 6: Final answer
    x = 432.27

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1.5x scale

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.