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Finding the Fourth Proportional to 840.15, 1,264.66 and 766.35

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Solution

The fourth proportional to 840.15, 1,264.66 and 766.35 is: 1,153.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.15 : 1,264.66 = 766.35 : x
  2. Step 2: Convert to fraction form
    840.15/1,264.66 = 766.35/x
  3. Step 3: Cross multiply
    840.15x = 1,264.66 × 766.35
  4. Step 4: Simplify right side
    840.15x = 969,172.19
  5. Step 5: Solve for x
    x = 969,172.19/840.15
  6. Step 6: Final answer
    x = 1,153.57

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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.