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Finding the Fourth Proportional to 560.30, 836.66 and 457.78

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Solution

The fourth proportional to 560.30, 836.66 and 457.78 is: 683.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.30 : 836.66 = 457.78 : x
  2. Step 2: Convert to fraction form
    560.30/836.66 = 457.78/x
  3. Step 3: Cross multiply
    560.30x = 836.66 × 457.78
  4. Step 4: Simplify right side
    560.30x = 383,003.55
  5. Step 5: Solve for x
    x = 383,003.55/560.30
  6. Step 6: Final answer
    x = 683.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.