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Finding the Fourth Proportional to 1,058.61, 1,462.02 and 971.13

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Solution

The fourth proportional to 1,058.61, 1,462.02 and 971.13 is: 1,341.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.61 : 1,462.02 = 971.13 : x
  2. Step 2: Convert to fraction form
    1,058.61/1,462.02 = 971.13/x
  3. Step 3: Cross multiply
    1,058.61x = 1,462.02 × 971.13
  4. Step 4: Simplify right side
    1,058.61x = 1,419,811.48
  5. Step 5: Solve for x
    x = 1,419,811.48/1,058.61
  6. Step 6: Final answer
    x = 1,341.20

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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.