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Finding the Fourth Proportional to 580.47, 870.85 and 570.14

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Solution

The fourth proportional to 580.47, 870.85 and 570.14 is: 855.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.47 : 870.85 = 570.14 : x
  2. Step 2: Convert to fraction form
    580.47/870.85 = 570.14/x
  3. Step 3: Cross multiply
    580.47x = 870.85 × 570.14
  4. Step 4: Simplify right side
    580.47x = 496,506.04
  5. Step 5: Solve for x
    x = 496,506.04/580.47
  6. Step 6: Final answer
    x = 855.36

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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.