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Finding the Fourth Proportional to 1,473, 2,209.77 and 703.50

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Solution

The fourth proportional to 1,473, 2,209.77 and 703.50 is: 1,055.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,473 : 2,209.77 = 703.50 : x
  2. Step 2: Convert to fraction form
    1,473/2,209.77 = 703.50/x
  3. Step 3: Cross multiply
    1,473x = 2,209.77 × 703.50
  4. Step 4: Simplify right side
    1,473x = 1,554,573.20
  5. Step 5: Solve for x
    x = 1,554,573.20/1,473
  6. Step 6: Final answer
    x = 1,055.38

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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.