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Finding the Fourth Proportional to 583.14, 875.31 and 429.24

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Solution

The fourth proportional to 583.14, 875.31 and 429.24 is: 644.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.14 : 875.31 = 429.24 : x
  2. Step 2: Convert to fraction form
    583.14/875.31 = 429.24/x
  3. Step 3: Cross multiply
    583.14x = 875.31 × 429.24
  4. Step 4: Simplify right side
    583.14x = 375,718.06
  5. Step 5: Solve for x
    x = 375,718.06/583.14
  6. Step 6: Final answer
    x = 644.30

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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.