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Finding the Fourth Proportional to 800.48, 1,200.02 and 435.58

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Solution

The fourth proportional to 800.48, 1,200.02 and 435.58 is: 652.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.48 : 1,200.02 = 435.58 : x
  2. Step 2: Convert to fraction form
    800.48/1,200.02 = 435.58/x
  3. Step 3: Cross multiply
    800.48x = 1,200.02 × 435.58
  4. Step 4: Simplify right side
    800.48x = 522,699.53
  5. Step 5: Solve for x
    x = 522,699.53/800.48
  6. Step 6: Final answer
    x = 652.98

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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.