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Finding the Fourth Proportional to 1,057.86, 1,587.76 and 538.22

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Solution

The fourth proportional to 1,057.86, 1,587.76 and 538.22 is: 807.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.86 : 1,587.76 = 538.22 : x
  2. Step 2: Convert to fraction form
    1,057.86/1,587.76 = 538.22/x
  3. Step 3: Cross multiply
    1,057.86x = 1,587.76 × 538.22
  4. Step 4: Simplify right side
    1,057.86x = 854,564.19
  5. Step 5: Solve for x
    x = 854,564.19/1,057.86
  6. Step 6: Final answer
    x = 807.82

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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.