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Finding the Fourth Proportional to 560.08, 838.68 and 463.60

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Solution

The fourth proportional to 560.08, 838.68 and 463.60 is: 694.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.08 : 838.68 = 463.60 : x
  2. Step 2: Convert to fraction form
    560.08/838.68 = 463.60/x
  3. Step 3: Cross multiply
    560.08x = 838.68 × 463.60
  4. Step 4: Simplify right side
    560.08x = 388,812.05
  5. Step 5: Solve for x
    x = 388,812.05/560.08
  6. Step 6: Final answer
    x = 694.21

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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.