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Finding the Fourth Proportional to 538.94, 803.22 and 528.14

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Solution

The fourth proportional to 538.94, 803.22 and 528.14 is: 787.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.94 : 803.22 = 528.14 : x
  2. Step 2: Convert to fraction form
    538.94/803.22 = 528.14/x
  3. Step 3: Cross multiply
    538.94x = 803.22 × 528.14
  4. Step 4: Simplify right side
    538.94x = 424,212.61
  5. Step 5: Solve for x
    x = 424,212.61/538.94
  6. Step 6: Final answer
    x = 787.12

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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.