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Finding the Fourth Proportional to 571.06, 788.25 and 424.18

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Solution

The fourth proportional to 571.06, 788.25 and 424.18 is: 585.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.06 : 788.25 = 424.18 : x
  2. Step 2: Convert to fraction form
    571.06/788.25 = 424.18/x
  3. Step 3: Cross multiply
    571.06x = 788.25 × 424.18
  4. Step 4: Simplify right side
    571.06x = 334,359.89
  5. Step 5: Solve for x
    x = 334,359.89/571.06
  6. Step 6: Final answer
    x = 585.51

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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.