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Finding the Fourth Proportional to 535.20, 801.56 and 526.28

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Solution

The fourth proportional to 535.20, 801.56 and 526.28 is: 788.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.20 : 801.56 = 526.28 : x
  2. Step 2: Convert to fraction form
    535.20/801.56 = 526.28/x
  3. Step 3: Cross multiply
    535.20x = 801.56 × 526.28
  4. Step 4: Simplify right side
    535.20x = 421,845.00
  5. Step 5: Solve for x
    x = 421,845.00/535.20
  6. Step 6: Final answer
    x = 788.20

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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.