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Finding the Fourth Proportional to 526.56, 788.76 and 423.29

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Solution

The fourth proportional to 526.56, 788.76 and 423.29 is: 634.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.56 : 788.76 = 423.29 : x
  2. Step 2: Convert to fraction form
    526.56/788.76 = 423.29/x
  3. Step 3: Cross multiply
    526.56x = 788.76 × 423.29
  4. Step 4: Simplify right side
    526.56x = 333,870.28
  5. Step 5: Solve for x
    x = 333,870.28/526.56
  6. Step 6: Final answer
    x = 634.06

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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.