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Finding the Fourth Proportional to 571, 788.40 and 424

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Solution

The fourth proportional to 571, 788.40 and 424 is: 585.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    571 : 788.40 = 424 : x
  2. Step 2: Convert to fraction form
    571/788.40 = 424/x
  3. Step 3: Cross multiply
    571x = 788.40 × 424
  4. Step 4: Simplify right side
    571x = 334,281.60
  5. Step 5: Solve for x
    x = 334,281.60/571
  6. Step 6: Final answer
    x = 585.43

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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.