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Finding the Fourth Proportional to 720.86, 994.94 and 581.90

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Solution

The fourth proportional to 720.86, 994.94 and 581.90 is: 803.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.86 : 994.94 = 581.90 : x
  2. Step 2: Convert to fraction form
    720.86/994.94 = 581.90/x
  3. Step 3: Cross multiply
    720.86x = 994.94 × 581.90
  4. Step 4: Simplify right side
    720.86x = 578,952.07
  5. Step 5: Solve for x
    x = 578,952.07/720.86
  6. Step 6: Final answer
    x = 803.15

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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.