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Finding the Fourth Proportional to 585.28, 882.58 and 574.36

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Solution

The fourth proportional to 585.28, 882.58 and 574.36 is: 866.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.28 : 882.58 = 574.36 : x
  2. Step 2: Convert to fraction form
    585.28/882.58 = 574.36/x
  3. Step 3: Cross multiply
    585.28x = 882.58 × 574.36
  4. Step 4: Simplify right side
    585.28x = 506,918.65
  5. Step 5: Solve for x
    x = 506,918.65/585.28
  6. Step 6: Final answer
    x = 866.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.