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Finding the Fourth Proportional to 584.56, 874.77 and 430.12

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Solution

The fourth proportional to 584.56, 874.77 and 430.12 is: 643.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.56 : 874.77 = 430.12 : x
  2. Step 2: Convert to fraction form
    584.56/874.77 = 430.12/x
  3. Step 3: Cross multiply
    584.56x = 874.77 × 430.12
  4. Step 4: Simplify right side
    584.56x = 376,256.07
  5. Step 5: Solve for x
    x = 376,256.07/584.56
  6. Step 6: Final answer
    x = 643.66

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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.