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Finding the Fourth Proportional to 584.82, 875.16 and 430.38

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Solution

The fourth proportional to 584.82, 875.16 and 430.38 is: 644.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.82 : 875.16 = 430.38 : x
  2. Step 2: Convert to fraction form
    584.82/875.16 = 430.38/x
  3. Step 3: Cross multiply
    584.82x = 875.16 × 430.38
  4. Step 4: Simplify right side
    584.82x = 376,651.36
  5. Step 5: Solve for x
    x = 376,651.36/584.82
  6. Step 6: Final answer
    x = 644.05

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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.