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Finding the Fourth Proportional to 788.15, 1,086.94 and 526.43

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Solution

The fourth proportional to 788.15, 1,086.94 and 526.43 is: 726.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.15 : 1,086.94 = 526.43 : x
  2. Step 2: Convert to fraction form
    788.15/1,086.94 = 526.43/x
  3. Step 3: Cross multiply
    788.15x = 1,086.94 × 526.43
  4. Step 4: Simplify right side
    788.15x = 572,197.82
  5. Step 5: Solve for x
    x = 572,197.82/788.15
  6. Step 6: Final answer
    x = 726.00

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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.