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Finding the Fourth Proportional to 560.13, 840.77 and 414.05

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Solution

The fourth proportional to 560.13, 840.77 and 414.05 is: 621.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.13 : 840.77 = 414.05 : x
  2. Step 2: Convert to fraction form
    560.13/840.77 = 414.05/x
  3. Step 3: Cross multiply
    560.13x = 840.77 × 414.05
  4. Step 4: Simplify right side
    560.13x = 348,114.54
  5. Step 5: Solve for x
    x = 348,114.54/560.13
  6. Step 6: Final answer
    x = 621.49

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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.