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Finding the Fourth Proportional to 570.43, 785.15 and 476.11

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Solution

The fourth proportional to 570.43, 785.15 and 476.11 is: 655.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.43 : 785.15 = 476.11 : x
  2. Step 2: Convert to fraction form
    570.43/785.15 = 476.11/x
  3. Step 3: Cross multiply
    570.43x = 785.15 × 476.11
  4. Step 4: Simplify right side
    570.43x = 373,818.15
  5. Step 5: Solve for x
    x = 373,818.15/570.43
  6. Step 6: Final answer
    x = 655.33

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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.