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Finding the Fourth Proportional to 1,129.29, 1,557 and 864.06

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Solution

The fourth proportional to 1,129.29, 1,557 and 864.06 is: 1,191.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.29 : 1,557 = 864.06 : x
  2. Step 2: Convert to fraction form
    1,129.29/1,557 = 864.06/x
  3. Step 3: Cross multiply
    1,129.29x = 1,557 × 864.06
  4. Step 4: Simplify right side
    1,129.29x = 1,345,341.42
  5. Step 5: Solve for x
    x = 1,345,341.42/1,129.29
  6. Step 6: Final answer
    x = 1,191.32

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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.