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Finding the Fourth Proportional to 560, 840.72 and 483.44

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Solution

The fourth proportional to 560, 840.72 and 483.44 is: 725.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    560 : 840.72 = 483.44 : x
  2. Step 2: Convert to fraction form
    560/840.72 = 483.44/x
  3. Step 3: Cross multiply
    560x = 840.72 × 483.44
  4. Step 4: Simplify right side
    560x = 406,437.68
  5. Step 5: Solve for x
    x = 406,437.68/560
  6. Step 6: Final answer
    x = 725.78

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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.