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Finding the Fourth Proportional to 876.49, 1,315.02 and 260.20

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Solution

The fourth proportional to 876.49, 1,315.02 and 260.20 is: 390.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.49 : 1,315.02 = 260.20 : x
  2. Step 2: Convert to fraction form
    876.49/1,315.02 = 260.20/x
  3. Step 3: Cross multiply
    876.49x = 1,315.02 × 260.20
  4. Step 4: Simplify right side
    876.49x = 342,166.90
  5. Step 5: Solve for x
    x = 342,166.90/876.49
  6. Step 6: Final answer
    x = 390.38

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1.5x scale

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.