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Finding the Fourth Proportional to 1,495.60, 2,242.92 and 570.46

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Solution

The fourth proportional to 1,495.60, 2,242.92 and 570.46 is: 855.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,495.60 : 2,242.92 = 570.46 : x
  2. Step 2: Convert to fraction form
    1,495.60/2,242.92 = 570.46/x
  3. Step 3: Cross multiply
    1,495.60x = 2,242.92 × 570.46
  4. Step 4: Simplify right side
    1,495.60x = 1,279,496.14
  5. Step 5: Solve for x
    x = 1,279,496.14/1,495.60
  6. Step 6: Final answer
    x = 855.51

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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.