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Finding the Fourth Proportional to 764.40, 1,145.70 and 571.80

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Solution

The fourth proportional to 764.40, 1,145.70 and 571.80 is: 857.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.40 : 1,145.70 = 571.80 : x
  2. Step 2: Convert to fraction form
    764.40/1,145.70 = 571.80/x
  3. Step 3: Cross multiply
    764.40x = 1,145.70 × 571.80
  4. Step 4: Simplify right side
    764.40x = 655,111.26
  5. Step 5: Solve for x
    x = 655,111.26/764.40
  6. Step 6: Final answer
    x = 857.03

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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.