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Finding the Fourth Proportional to 1,057.22, 1,458.94 and 585.15

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Solution

The fourth proportional to 1,057.22, 1,458.94 and 585.15 is: 807.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.22 : 1,458.94 = 585.15 : x
  2. Step 2: Convert to fraction form
    1,057.22/1,458.94 = 585.15/x
  3. Step 3: Cross multiply
    1,057.22x = 1,458.94 × 585.15
  4. Step 4: Simplify right side
    1,057.22x = 853,698.74
  5. Step 5: Solve for x
    x = 853,698.74/1,057.22
  6. Step 6: Final answer
    x = 807.49

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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.