Home / 1,058.23-1,587.36-278.18

Finding the Fourth Proportional to 1,058.23, 1,587.36 and 278.18

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Solution

The fourth proportional to 1,058.23, 1,587.36 and 278.18 is: 417.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.23 : 1,587.36 = 278.18 : x
  2. Step 2: Convert to fraction form
    1,058.23/1,587.36 = 278.18/x
  3. Step 3: Cross multiply
    1,058.23x = 1,587.36 × 278.18
  4. Step 4: Simplify right side
    1,058.23x = 441,562.48
  5. Step 5: Solve for x
    x = 441,562.48/1,058.23
  6. Step 6: Final answer
    x = 417.27

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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.