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Finding the Fourth Proportional to 1,058.65, 1,588.38 and 442.18

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Solution

The fourth proportional to 1,058.65, 1,588.38 and 442.18 is: 663.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.65 : 1,588.38 = 442.18 : x
  2. Step 2: Convert to fraction form
    1,058.65/1,588.38 = 442.18/x
  3. Step 3: Cross multiply
    1,058.65x = 1,588.38 × 442.18
  4. Step 4: Simplify right side
    1,058.65x = 702,349.87
  5. Step 5: Solve for x
    x = 702,349.87/1,058.65
  6. Step 6: Final answer
    x = 663.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.