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Finding the Fourth Proportional to 756.16, 1,043.36 and 420.02

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Solution

The fourth proportional to 756.16, 1,043.36 and 420.02 is: 579.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.16 : 1,043.36 = 420.02 : x
  2. Step 2: Convert to fraction form
    756.16/1,043.36 = 420.02/x
  3. Step 3: Cross multiply
    756.16x = 1,043.36 × 420.02
  4. Step 4: Simplify right side
    756.16x = 438,232.60
  5. Step 5: Solve for x
    x = 438,232.60/756.16
  6. Step 6: Final answer
    x = 579.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.