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Finding the Fourth Proportional to 876.99, 1,315.74 and 260.71

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Solution

The fourth proportional to 876.99, 1,315.74 and 260.71 is: 391.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.99 : 1,315.74 = 260.71 : x
  2. Step 2: Convert to fraction form
    876.99/1,315.74 = 260.71/x
  3. Step 3: Cross multiply
    876.99x = 1,315.74 × 260.71
  4. Step 4: Simplify right side
    876.99x = 343,026.58
  5. Step 5: Solve for x
    x = 343,026.58/876.99
  6. Step 6: Final answer
    x = 391.14

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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.