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Finding the Fourth Proportional to 533.77, 737.52 and 424.21

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Solution

The fourth proportional to 533.77, 737.52 and 424.21 is: 586.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.77 : 737.52 = 424.21 : x
  2. Step 2: Convert to fraction form
    533.77/737.52 = 424.21/x
  3. Step 3: Cross multiply
    533.77x = 737.52 × 424.21
  4. Step 4: Simplify right side
    533.77x = 312,863.36
  5. Step 5: Solve for x
    x = 312,863.36/533.77
  6. Step 6: Final answer
    x = 586.14

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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.