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Finding the Fourth Proportional to 890.28, 1,328.85 and 775.71

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Solution

The fourth proportional to 890.28, 1,328.85 and 775.71 is: 1,157.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.28 : 1,328.85 = 775.71 : x
  2. Step 2: Convert to fraction form
    890.28/1,328.85 = 775.71/x
  3. Step 3: Cross multiply
    890.28x = 1,328.85 × 775.71
  4. Step 4: Simplify right side
    890.28x = 1,030,802.23
  5. Step 5: Solve for x
    x = 1,030,802.23/890.28
  6. Step 6: Final answer
    x = 1,157.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.