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Finding the Fourth Proportional to 832.07, 1,148.09 and 477.95

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Solution

The fourth proportional to 832.07, 1,148.09 and 477.95 is: 659.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.07 : 1,148.09 = 477.95 : x
  2. Step 2: Convert to fraction form
    832.07/1,148.09 = 477.95/x
  3. Step 3: Cross multiply
    832.07x = 1,148.09 × 477.95
  4. Step 4: Simplify right side
    832.07x = 548,721.49
  5. Step 5: Solve for x
    x = 548,721.49/832.07
  6. Step 6: Final answer
    x = 659.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.