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Finding the Fourth Proportional to 1,058.79, 1,460.63 and 685.89

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Solution

The fourth proportional to 1,058.79, 1,460.63 and 685.89 is: 946.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.79 : 1,460.63 = 685.89 : x
  2. Step 2: Convert to fraction form
    1,058.79/1,460.63 = 685.89/x
  3. Step 3: Cross multiply
    1,058.79x = 1,460.63 × 685.89
  4. Step 4: Simplify right side
    1,058.79x = 1,001,833.23
  5. Step 5: Solve for x
    x = 1,001,833.23/1,058.79
  6. Step 6: Final answer
    x = 946.21

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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.