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Finding the Fourth Proportional to 788.63, 1,088.30 and 526.73

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Solution

The fourth proportional to 788.63, 1,088.30 and 526.73 is: 726.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.63 : 1,088.30 = 526.73 : x
  2. Step 2: Convert to fraction form
    788.63/1,088.30 = 526.73/x
  3. Step 3: Cross multiply
    788.63x = 1,088.30 × 526.73
  4. Step 4: Simplify right side
    788.63x = 573,236.13
  5. Step 5: Solve for x
    x = 573,236.13/788.63
  6. Step 6: Final answer
    x = 726.88

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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.