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Finding the Fourth Proportional to 703.52, 1,053.12 and 415.52

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Solution

The fourth proportional to 703.52, 1,053.12 and 415.52 is: 622.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.52 : 1,053.12 = 415.52 : x
  2. Step 2: Convert to fraction form
    703.52/1,053.12 = 415.52/x
  3. Step 3: Cross multiply
    703.52x = 1,053.12 × 415.52
  4. Step 4: Simplify right side
    703.52x = 437,592.42
  5. Step 5: Solve for x
    x = 437,592.42/703.52
  6. Step 6: Final answer
    x = 622.00

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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.