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Finding the Fourth Proportional to 873.19, 1,309.85 and 490.87

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Solution

The fourth proportional to 873.19, 1,309.85 and 490.87 is: 736.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.19 : 1,309.85 = 490.87 : x
  2. Step 2: Convert to fraction form
    873.19/1,309.85 = 490.87/x
  3. Step 3: Cross multiply
    873.19x = 1,309.85 × 490.87
  4. Step 4: Simplify right side
    873.19x = 642,966.07
  5. Step 5: Solve for x
    x = 642,966.07/873.19
  6. Step 6: Final answer
    x = 736.34

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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.