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Finding the Fourth Proportional to 652.53, 902.22 and 570.52

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Solution

The fourth proportional to 652.53, 902.22 and 570.52 is: 788.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.53 : 902.22 = 570.52 : x
  2. Step 2: Convert to fraction form
    652.53/902.22 = 570.52/x
  3. Step 3: Cross multiply
    652.53x = 902.22 × 570.52
  4. Step 4: Simplify right side
    652.53x = 514,734.55
  5. Step 5: Solve for x
    x = 514,734.55/652.53
  6. Step 6: Final answer
    x = 788.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.