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Finding the Fourth Proportional to 1,058.90, 1,459.71 and 743.19

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Solution

The fourth proportional to 1,058.90, 1,459.71 and 743.19 is: 1,024.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.90 : 1,459.71 = 743.19 : x
  2. Step 2: Convert to fraction form
    1,058.90/1,459.71 = 743.19/x
  3. Step 3: Cross multiply
    1,058.90x = 1,459.71 × 743.19
  4. Step 4: Simplify right side
    1,058.90x = 1,084,841.87
  5. Step 5: Solve for x
    x = 1,084,841.87/1,058.90
  6. Step 6: Final answer
    x = 1,024.50

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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.