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Finding the Fourth Proportional to 876.58, 1,315.14 and 465.66

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Solution

The fourth proportional to 876.58, 1,315.14 and 465.66 is: 698.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.58 : 1,315.14 = 465.66 : x
  2. Step 2: Convert to fraction form
    876.58/1,315.14 = 465.66/x
  3. Step 3: Cross multiply
    876.58x = 1,315.14 × 465.66
  4. Step 4: Simplify right side
    876.58x = 612,408.09
  5. Step 5: Solve for x
    x = 612,408.09/876.58
  6. Step 6: Final answer
    x = 698.63

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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.