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Finding the Fourth Proportional to 533.69, 794.81 and 530.55

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Solution

The fourth proportional to 533.69, 794.81 and 530.55 is: 790.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.69 : 794.81 = 530.55 : x
  2. Step 2: Convert to fraction form
    533.69/794.81 = 530.55/x
  3. Step 3: Cross multiply
    533.69x = 794.81 × 530.55
  4. Step 4: Simplify right side
    533.69x = 421,687.77
  5. Step 5: Solve for x
    x = 421,687.77/533.69
  6. Step 6: Final answer
    x = 790.14

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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.