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Finding the Fourth Proportional to 1,058.55, 1,460.95 and 616.69

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Solution

The fourth proportional to 1,058.55, 1,460.95 and 616.69 is: 851.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.55 : 1,460.95 = 616.69 : x
  2. Step 2: Convert to fraction form
    1,058.55/1,460.95 = 616.69/x
  3. Step 3: Cross multiply
    1,058.55x = 1,460.95 × 616.69
  4. Step 4: Simplify right side
    1,058.55x = 900,953.26
  5. Step 5: Solve for x
    x = 900,953.26/1,058.55
  6. Step 6: Final answer
    x = 851.12

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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.