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Finding the Fourth Proportional to 767.95, 1,157.54 and 702.21

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Solution

The fourth proportional to 767.95, 1,157.54 and 702.21 is: 1,058.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.95 : 1,157.54 = 702.21 : x
  2. Step 2: Convert to fraction form
    767.95/1,157.54 = 702.21/x
  3. Step 3: Cross multiply
    767.95x = 1,157.54 × 702.21
  4. Step 4: Simplify right side
    767.95x = 812,840.94
  5. Step 5: Solve for x
    x = 812,840.94/767.95
  6. Step 6: Final answer
    x = 1,058.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.