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Finding the Fourth Proportional to 560.48, 840.72 and 452

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Solution

The fourth proportional to 560.48, 840.72 and 452 is: 678

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.48 : 840.72 = 452 : x
  2. Step 2: Convert to fraction form
    560.48/840.72 = 452/x
  3. Step 3: Cross multiply
    560.48x = 840.72 × 452
  4. Step 4: Simplify right side
    560.48x = 380,005.44
  5. Step 5: Solve for x
    x = 380,005.44/560.48
  6. Step 6: Final answer
    x = 678

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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.