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Finding the Fourth Proportional to 560.72, 840.78 and 464.13

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Solution

The fourth proportional to 560.72, 840.78 and 464.13 is: 695.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.72 : 840.78 = 464.13 : x
  2. Step 2: Convert to fraction form
    560.72/840.78 = 464.13/x
  3. Step 3: Cross multiply
    560.72x = 840.78 × 464.13
  4. Step 4: Simplify right side
    560.72x = 390,231.22
  5. Step 5: Solve for x
    x = 390,231.22/560.72
  6. Step 6: Final answer
    x = 695.94

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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.