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Finding the Fourth Proportional to 924.51, 1,386.76 and 878.37

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Solution

The fourth proportional to 924.51, 1,386.76 and 878.37 is: 1,317.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.51 : 1,386.76 = 878.37 : x
  2. Step 2: Convert to fraction form
    924.51/1,386.76 = 878.37/x
  3. Step 3: Cross multiply
    924.51x = 1,386.76 × 878.37
  4. Step 4: Simplify right side
    924.51x = 1,218,083.99
  5. Step 5: Solve for x
    x = 1,218,083.99/924.51
  6. Step 6: Final answer
    x = 1,317.55

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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.