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Finding the Fourth Proportional to 720.30, 992.88 and 589.08

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Solution

The fourth proportional to 720.30, 992.88 and 589.08 is: 812.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.30 : 992.88 = 589.08 : x
  2. Step 2: Convert to fraction form
    720.30/992.88 = 589.08/x
  3. Step 3: Cross multiply
    720.30x = 992.88 × 589.08
  4. Step 4: Simplify right side
    720.30x = 584,885.75
  5. Step 5: Solve for x
    x = 584,885.75/720.30
  6. Step 6: Final answer
    x = 812.00

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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.