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Finding the Fourth Proportional to 1,058.35, 1,460.59 and 638.70

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Solution

The fourth proportional to 1,058.35, 1,460.59 and 638.70 is: 881.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.35 : 1,460.59 = 638.70 : x
  2. Step 2: Convert to fraction form
    1,058.35/1,460.59 = 638.70/x
  3. Step 3: Cross multiply
    1,058.35x = 1,460.59 × 638.70
  4. Step 4: Simplify right side
    1,058.35x = 932,877.24
  5. Step 5: Solve for x
    x = 932,877.24/1,058.35
  6. Step 6: Final answer
    x = 881.45

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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.