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Finding the Fourth Proportional to 766.84, 1,058.08 and 452.08

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Solution

The fourth proportional to 766.84, 1,058.08 and 452.08 is: 623.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.84 : 1,058.08 = 452.08 : x
  2. Step 2: Convert to fraction form
    766.84/1,058.08 = 452.08/x
  3. Step 3: Cross multiply
    766.84x = 1,058.08 × 452.08
  4. Step 4: Simplify right side
    766.84x = 478,336.81
  5. Step 5: Solve for x
    x = 478,336.81/766.84
  6. Step 6: Final answer
    x = 623.78

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Why These Related Problems?

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