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Finding the Fourth Proportional to 538.14, 801.20 and 530.45

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Solution

The fourth proportional to 538.14, 801.20 and 530.45 is: 789.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.14 : 801.20 = 530.45 : x
  2. Step 2: Convert to fraction form
    538.14/801.20 = 530.45/x
  3. Step 3: Cross multiply
    538.14x = 801.20 × 530.45
  4. Step 4: Simplify right side
    538.14x = 424,989.88
  5. Step 5: Solve for x
    x = 424,989.88/538.14
  6. Step 6: Final answer
    x = 789.74

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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.