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Finding the Fourth Proportional to 883.15, 1,322.13 and 653.07

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Solution

The fourth proportional to 883.15, 1,322.13 and 653.07 is: 977.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.15 : 1,322.13 = 653.07 : x
  2. Step 2: Convert to fraction form
    883.15/1,322.13 = 653.07/x
  3. Step 3: Cross multiply
    883.15x = 1,322.13 × 653.07
  4. Step 4: Simplify right side
    883.15x = 863,440.17
  5. Step 5: Solve for x
    x = 863,440.17/883.15
  6. Step 6: Final answer
    x = 977.69

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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.