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Finding the Fourth Proportional to 1,322.74, 1,827.65 and 1,156.69

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Solution

The fourth proportional to 1,322.74, 1,827.65 and 1,156.69 is: 1,598.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.74 : 1,827.65 = 1,156.69 : x
  2. Step 2: Convert to fraction form
    1,322.74/1,827.65 = 1,156.69/x
  3. Step 3: Cross multiply
    1,322.74x = 1,827.65 × 1,156.69
  4. Step 4: Simplify right side
    1,322.74x = 2,114,024.48
  5. Step 5: Solve for x
    x = 2,114,024.48/1,322.74
  6. Step 6: Final answer
    x = 1,598.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.