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Finding the Fourth Proportional to 1,036.92, 1,547.78 and 913.89

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Solution

The fourth proportional to 1,036.92, 1,547.78 and 913.89 is: 1,364.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.92 : 1,547.78 = 913.89 : x
  2. Step 2: Convert to fraction form
    1,036.92/1,547.78 = 913.89/x
  3. Step 3: Cross multiply
    1,036.92x = 1,547.78 × 913.89
  4. Step 4: Simplify right side
    1,036.92x = 1,414,500.66
  5. Step 5: Solve for x
    x = 1,414,500.66/1,036.92
  6. Step 6: Final answer
    x = 1,364.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.