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Finding the Fourth Proportional to 766.19, 1,148.54 and 401.01

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Solution

The fourth proportional to 766.19, 1,148.54 and 401.01 is: 601.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.19 : 1,148.54 = 401.01 : x
  2. Step 2: Convert to fraction form
    766.19/1,148.54 = 401.01/x
  3. Step 3: Cross multiply
    766.19x = 1,148.54 × 401.01
  4. Step 4: Simplify right side
    766.19x = 460,574.02
  5. Step 5: Solve for x
    x = 460,574.02/766.19
  6. Step 6: Final answer
    x = 601.13

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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.