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Finding the Fourth Proportional to 840.45, 1,159.13 and 546.02

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Solution

The fourth proportional to 840.45, 1,159.13 and 546.02 is: 753.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.45 : 1,159.13 = 546.02 : x
  2. Step 2: Convert to fraction form
    840.45/1,159.13 = 546.02/x
  3. Step 3: Cross multiply
    840.45x = 1,159.13 × 546.02
  4. Step 4: Simplify right side
    840.45x = 632,903.73
  5. Step 5: Solve for x
    x = 632,903.73/840.45
  6. Step 6: Final answer
    x = 753.05

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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.