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Finding the Fourth Proportional to 1,058.01, 1,587.25 and 509.90

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Solution

The fourth proportional to 1,058.01, 1,587.25 and 509.90 is: 764.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.01 : 1,587.25 = 509.90 : x
  2. Step 2: Convert to fraction form
    1,058.01/1,587.25 = 509.90/x
  3. Step 3: Cross multiply
    1,058.01x = 1,587.25 × 509.90
  4. Step 4: Simplify right side
    1,058.01x = 809,328.61
  5. Step 5: Solve for x
    x = 809,328.61/1,058.01
  6. Step 6: Final answer
    x = 764.95

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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.