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Finding the Fourth Proportional to 873.09, 1,315.64 and 722.40

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Solution

The fourth proportional to 873.09, 1,315.64 and 722.40 is: 1,088.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.09 : 1,315.64 = 722.40 : x
  2. Step 2: Convert to fraction form
    873.09/1,315.64 = 722.40/x
  3. Step 3: Cross multiply
    873.09x = 1,315.64 × 722.40
  4. Step 4: Simplify right side
    873.09x = 950,414.72
  5. Step 5: Solve for x
    x = 950,414.72/873.09
  6. Step 6: Final answer
    x = 1,088.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.