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Finding the Fourth Proportional to 587.40, 810 and 574.02

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Solution

The fourth proportional to 587.40, 810 and 574.02 is: 791.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.40 : 810 = 574.02 : x
  2. Step 2: Convert to fraction form
    587.40/810 = 574.02/x
  3. Step 3: Cross multiply
    587.40x = 810 × 574.02
  4. Step 4: Simplify right side
    587.40x = 464,956.20
  5. Step 5: Solve for x
    x = 464,956.20/587.40
  6. Step 6: Final answer
    x = 791.55

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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.