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Finding the Fourth Proportional to 767.18, 1,058.26 and 557.11

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Solution

The fourth proportional to 767.18, 1,058.26 and 557.11 is: 768.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.18 : 1,058.26 = 557.11 : x
  2. Step 2: Convert to fraction form
    767.18/1,058.26 = 557.11/x
  3. Step 3: Cross multiply
    767.18x = 1,058.26 × 557.11
  4. Step 4: Simplify right side
    767.18x = 589,567.23
  5. Step 5: Solve for x
    x = 589,567.23/767.18
  6. Step 6: Final answer
    x = 768.49

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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.