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Finding the Fourth Proportional to 1,121.18, 1,547.04 and 678.98

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Solution

The fourth proportional to 1,121.18, 1,547.04 and 678.98 is: 936.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.18 : 1,547.04 = 678.98 : x
  2. Step 2: Convert to fraction form
    1,121.18/1,547.04 = 678.98/x
  3. Step 3: Cross multiply
    1,121.18x = 1,547.04 × 678.98
  4. Step 4: Simplify right side
    1,121.18x = 1,050,409.22
  5. Step 5: Solve for x
    x = 1,050,409.22/1,121.18
  6. Step 6: Final answer
    x = 936.88

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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.