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Finding the Fourth Proportional to 1,120.98, 1,547.10 and 678.89

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Solution

The fourth proportional to 1,120.98, 1,547.10 and 678.89 is: 936.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.98 : 1,547.10 = 678.89 : x
  2. Step 2: Convert to fraction form
    1,120.98/1,547.10 = 678.89/x
  3. Step 3: Cross multiply
    1,120.98x = 1,547.10 × 678.89
  4. Step 4: Simplify right side
    1,120.98x = 1,050,310.72
  5. Step 5: Solve for x
    x = 1,050,310.72/1,120.98
  6. Step 6: Final answer
    x = 936.96

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