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Finding the Fourth Proportional to 904.68, 1,249.06 and 590.36

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Solution

The fourth proportional to 904.68, 1,249.06 and 590.36 is: 815.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.68 : 1,249.06 = 590.36 : x
  2. Step 2: Convert to fraction form
    904.68/1,249.06 = 590.36/x
  3. Step 3: Cross multiply
    904.68x = 1,249.06 × 590.36
  4. Step 4: Simplify right side
    904.68x = 737,395.06
  5. Step 5: Solve for x
    x = 737,395.06/904.68
  6. Step 6: Final answer
    x = 815.09

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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.