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Finding the Fourth Proportional to 560.19, 842.10 and 345.13

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Solution

The fourth proportional to 560.19, 842.10 and 345.13 is: 518.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.19 : 842.10 = 345.13 : x
  2. Step 2: Convert to fraction form
    560.19/842.10 = 345.13/x
  3. Step 3: Cross multiply
    560.19x = 842.10 × 345.13
  4. Step 4: Simplify right side
    560.19x = 290,633.97
  5. Step 5: Solve for x
    x = 290,633.97/560.19
  6. Step 6: Final answer
    x = 518.81

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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.