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Finding the Fourth Proportional to 1,058.66, 1,460.79 and 638.93

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Solution

The fourth proportional to 1,058.66, 1,460.79 and 638.93 is: 881.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.66 : 1,460.79 = 638.93 : x
  2. Step 2: Convert to fraction form
    1,058.66/1,460.79 = 638.93/x
  3. Step 3: Cross multiply
    1,058.66x = 1,460.79 × 638.93
  4. Step 4: Simplify right side
    1,058.66x = 933,342.55
  5. Step 5: Solve for x
    x = 933,342.55/1,058.66
  6. Step 6: Final answer
    x = 881.63

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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.