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Finding the Fourth Proportional to 914.28, 1,261.91 and 582.63

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Solution

The fourth proportional to 914.28, 1,261.91 and 582.63 is: 804.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.28 : 1,261.91 = 582.63 : x
  2. Step 2: Convert to fraction form
    914.28/1,261.91 = 582.63/x
  3. Step 3: Cross multiply
    914.28x = 1,261.91 × 582.63
  4. Step 4: Simplify right side
    914.28x = 735,223.71
  5. Step 5: Solve for x
    x = 735,223.71/914.28
  6. Step 6: Final answer
    x = 804.16

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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.