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Finding the Fourth Proportional to 722.30, 995.64 and 590.07

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Solution

The fourth proportional to 722.30, 995.64 and 590.07 is: 813.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.30 : 995.64 = 590.07 : x
  2. Step 2: Convert to fraction form
    722.30/995.64 = 590.07/x
  3. Step 3: Cross multiply
    722.30x = 995.64 × 590.07
  4. Step 4: Simplify right side
    722.30x = 587,497.29
  5. Step 5: Solve for x
    x = 587,497.29/722.30
  6. Step 6: Final answer
    x = 813.38

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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.