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Finding the Fourth Proportional to 840.23, 1,258.25 and 531.15

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Solution

The fourth proportional to 840.23, 1,258.25 and 531.15 is: 795.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.23 : 1,258.25 = 531.15 : x
  2. Step 2: Convert to fraction form
    840.23/1,258.25 = 531.15/x
  3. Step 3: Cross multiply
    840.23x = 1,258.25 × 531.15
  4. Step 4: Simplify right side
    840.23x = 668,319.49
  5. Step 5: Solve for x
    x = 668,319.49/840.23
  6. Step 6: Final answer
    x = 795.40

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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.