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Finding the Fourth Proportional to 1,120.51, 1,678.65 and 632.08

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Solution

The fourth proportional to 1,120.51, 1,678.65 and 632.08 is: 946.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.51 : 1,678.65 = 632.08 : x
  2. Step 2: Convert to fraction form
    1,120.51/1,678.65 = 632.08/x
  3. Step 3: Cross multiply
    1,120.51x = 1,678.65 × 632.08
  4. Step 4: Simplify right side
    1,120.51x = 1,061,041.09
  5. Step 5: Solve for x
    x = 1,061,041.09/1,120.51
  6. Step 6: Final answer
    x = 946.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.