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Finding the Fourth Proportional to 560.10, 828.42 and 560.10

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Solution

The fourth proportional to 560.10, 828.42 and 560.10 is: 828.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.10 : 828.42 = 560.10 : x
  2. Step 2: Convert to fraction form
    560.10/828.42 = 560.10/x
  3. Step 3: Cross multiply
    560.10x = 828.42 × 560.10
  4. Step 4: Simplify right side
    560.10x = 463,998.04
  5. Step 5: Solve for x
    x = 463,998.04/560.10
  6. Step 6: Final answer
    x = 828.42

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.