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Finding the Fourth Proportional to 801.42, 1,200.16 and 526.02

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Solution

The fourth proportional to 801.42, 1,200.16 and 526.02 is: 787.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.42 : 1,200.16 = 526.02 : x
  2. Step 2: Convert to fraction form
    801.42/1,200.16 = 526.02/x
  3. Step 3: Cross multiply
    801.42x = 1,200.16 × 526.02
  4. Step 4: Simplify right side
    801.42x = 631,308.16
  5. Step 5: Solve for x
    x = 631,308.16/801.42
  6. Step 6: Final answer
    x = 787.74

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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.