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Finding the Fourth Proportional to 571.40, 787.92 and 440.12

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Solution

The fourth proportional to 571.40, 787.92 and 440.12 is: 606.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.40 : 787.92 = 440.12 : x
  2. Step 2: Convert to fraction form
    571.40/787.92 = 440.12/x
  3. Step 3: Cross multiply
    571.40x = 787.92 × 440.12
  4. Step 4: Simplify right side
    571.40x = 346,779.35
  5. Step 5: Solve for x
    x = 346,779.35/571.40
  6. Step 6: Final answer
    x = 606.89

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