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Finding the Fourth Proportional to 560.47, 840.53 and 267.82

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Solution

The fourth proportional to 560.47, 840.53 and 267.82 is: 401.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.47 : 840.53 = 267.82 : x
  2. Step 2: Convert to fraction form
    560.47/840.53 = 267.82/x
  3. Step 3: Cross multiply
    560.47x = 840.53 × 267.82
  4. Step 4: Simplify right side
    560.47x = 225,106.54
  5. Step 5: Solve for x
    x = 225,106.54/560.47
  6. Step 6: Final answer
    x = 401.64

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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.