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Finding the Fourth Proportional to 581.25, 864.65 and 575.38

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Solution

The fourth proportional to 581.25, 864.65 and 575.38 is: 855.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.25 : 864.65 = 575.38 : x
  2. Step 2: Convert to fraction form
    581.25/864.65 = 575.38/x
  3. Step 3: Cross multiply
    581.25x = 864.65 × 575.38
  4. Step 4: Simplify right side
    581.25x = 497,502.32
  5. Step 5: Solve for x
    x = 497,502.32/581.25
  6. Step 6: Final answer
    x = 855.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.