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Finding the Fourth Proportional to 561.40, 842.10 and 471.80

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Solution

The fourth proportional to 561.40, 842.10 and 471.80 is: 707.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.40 : 842.10 = 471.80 : x
  2. Step 2: Convert to fraction form
    561.40/842.10 = 471.80/x
  3. Step 3: Cross multiply
    561.40x = 842.10 × 471.80
  4. Step 4: Simplify right side
    561.40x = 397,302.78
  5. Step 5: Solve for x
    x = 397,302.78/561.40
  6. Step 6: Final answer
    x = 707.70

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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.