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Finding the Fourth Proportional to 761.57, 1,048.55 and 720.55

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Solution

The fourth proportional to 761.57, 1,048.55 and 720.55 is: 992.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.57 : 1,048.55 = 720.55 : x
  2. Step 2: Convert to fraction form
    761.57/1,048.55 = 720.55/x
  3. Step 3: Cross multiply
    761.57x = 1,048.55 × 720.55
  4. Step 4: Simplify right side
    761.57x = 755,532.70
  5. Step 5: Solve for x
    x = 755,532.70/761.57
  6. Step 6: Final answer
    x = 992.07

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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.