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Finding the Fourth Proportional to 1,058.95, 1,587.89 and 503.49

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Solution

The fourth proportional to 1,058.95, 1,587.89 and 503.49 is: 754.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.95 : 1,587.89 = 503.49 : x
  2. Step 2: Convert to fraction form
    1,058.95/1,587.89 = 503.49/x
  3. Step 3: Cross multiply
    1,058.95x = 1,587.89 × 503.49
  4. Step 4: Simplify right side
    1,058.95x = 799,486.74
  5. Step 5: Solve for x
    x = 799,486.74/1,058.95
  6. Step 6: Final answer
    x = 754.98

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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.