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Finding the Fourth Proportional to 570.20, 786.33 and 471.77

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Solution

The fourth proportional to 570.20, 786.33 and 471.77 is: 650.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.20 : 786.33 = 471.77 : x
  2. Step 2: Convert to fraction form
    570.20/786.33 = 471.77/x
  3. Step 3: Cross multiply
    570.20x = 786.33 × 471.77
  4. Step 4: Simplify right side
    570.20x = 370,966.90
  5. Step 5: Solve for x
    x = 370,966.90/570.20
  6. Step 6: Final answer
    x = 650.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.