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Finding the Fourth Proportional to 535.40, 801.86 and 526.48

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Solution

The fourth proportional to 535.40, 801.86 and 526.48 is: 788.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.40 : 801.86 = 526.48 : x
  2. Step 2: Convert to fraction form
    535.40/801.86 = 526.48/x
  3. Step 3: Cross multiply
    535.40x = 801.86 × 526.48
  4. Step 4: Simplify right side
    535.40x = 422,163.25
  5. Step 5: Solve for x
    x = 422,163.25/535.40
  6. Step 6: Final answer
    x = 788.50

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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.