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Finding the Fourth Proportional to 585.07, 878.07 and 431.41

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Solution

The fourth proportional to 585.07, 878.07 and 431.41 is: 647.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.07 : 878.07 = 431.41 : x
  2. Step 2: Convert to fraction form
    585.07/878.07 = 431.41/x
  3. Step 3: Cross multiply
    585.07x = 878.07 × 431.41
  4. Step 4: Simplify right side
    585.07x = 378,808.18
  5. Step 5: Solve for x
    x = 378,808.18/585.07
  6. Step 6: Final answer
    x = 647.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.