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Finding the Fourth Proportional to 1,089.88, 1,503.60 and 697.12

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Solution

The fourth proportional to 1,089.88, 1,503.60 and 697.12 is: 961.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.88 : 1,503.60 = 697.12 : x
  2. Step 2: Convert to fraction form
    1,089.88/1,503.60 = 697.12/x
  3. Step 3: Cross multiply
    1,089.88x = 1,503.60 × 697.12
  4. Step 4: Simplify right side
    1,089.88x = 1,048,189.63
  5. Step 5: Solve for x
    x = 1,048,189.63/1,089.88
  6. Step 6: Final answer
    x = 961.75

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1.5x scale

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.