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Finding the Fourth Proportional to 924.74, 1,386.19 and 760.72

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Solution

The fourth proportional to 924.74, 1,386.19 and 760.72 is: 1,140.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.74 : 1,386.19 = 760.72 : x
  2. Step 2: Convert to fraction form
    924.74/1,386.19 = 760.72/x
  3. Step 3: Cross multiply
    924.74x = 1,386.19 × 760.72
  4. Step 4: Simplify right side
    924.74x = 1,054,502.46
  5. Step 5: Solve for x
    x = 1,054,502.46/924.74
  6. Step 6: Final answer
    x = 1,140.32

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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.