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Finding the Fourth Proportional to 1,058.81, 1,461.23 and 586.72

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Solution

The fourth proportional to 1,058.81, 1,461.23 and 586.72 is: 809.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.81 : 1,461.23 = 586.72 : x
  2. Step 2: Convert to fraction form
    1,058.81/1,461.23 = 586.72/x
  3. Step 3: Cross multiply
    1,058.81x = 1,461.23 × 586.72
  4. Step 4: Simplify right side
    1,058.81x = 857,332.87
  5. Step 5: Solve for x
    x = 857,332.87/1,058.81
  6. Step 6: Final answer
    x = 809.71

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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.