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Finding the Fourth Proportional to 1,058.77, 1,580.11 and 1,034.20

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Solution

The fourth proportional to 1,058.77, 1,580.11 and 1,034.20 is: 1,543.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.77 : 1,580.11 = 1,034.20 : x
  2. Step 2: Convert to fraction form
    1,058.77/1,580.11 = 1,034.20/x
  3. Step 3: Cross multiply
    1,058.77x = 1,580.11 × 1,034.20
  4. Step 4: Simplify right side
    1,058.77x = 1,634,149.76
  5. Step 5: Solve for x
    x = 1,634,149.76/1,058.77
  6. Step 6: Final answer
    x = 1,543.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.