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Finding the Fourth Proportional to 775.51, 1,161.43 and 589.61

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Solution

The fourth proportional to 775.51, 1,161.43 and 589.61 is: 883.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.51 : 1,161.43 = 589.61 : x
  2. Step 2: Convert to fraction form
    775.51/1,161.43 = 589.61/x
  3. Step 3: Cross multiply
    775.51x = 1,161.43 × 589.61
  4. Step 4: Simplify right side
    775.51x = 684,792.17
  5. Step 5: Solve for x
    x = 684,792.17/775.51
  6. Step 6: Final answer
    x = 883.02

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Double scale
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1.5x scale

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.