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Finding the Fourth Proportional to 560.41, 840.63 and 316.73

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Solution

The fourth proportional to 560.41, 840.63 and 316.73 is: 475.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.41 : 840.63 = 316.73 : x
  2. Step 2: Convert to fraction form
    560.41/840.63 = 316.73/x
  3. Step 3: Cross multiply
    560.41x = 840.63 × 316.73
  4. Step 4: Simplify right side
    560.41x = 266,252.74
  5. Step 5: Solve for x
    x = 266,252.74/560.41
  6. Step 6: Final answer
    x = 475.10

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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.