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Finding the Fourth Proportional to 934.99, 1,403.34 and 473.09

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Solution

The fourth proportional to 934.99, 1,403.34 and 473.09 is: 710.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.99 : 1,403.34 = 473.09 : x
  2. Step 2: Convert to fraction form
    934.99/1,403.34 = 473.09/x
  3. Step 3: Cross multiply
    934.99x = 1,403.34 × 473.09
  4. Step 4: Simplify right side
    934.99x = 663,899.10
  5. Step 5: Solve for x
    x = 663,899.10/934.99
  6. Step 6: Final answer
    x = 710.06

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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.