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Finding the Fourth Proportional to 533.04, 734.76 and 488.40

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Solution

The fourth proportional to 533.04, 734.76 and 488.40 is: 673.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.04 : 734.76 = 488.40 : x
  2. Step 2: Convert to fraction form
    533.04/734.76 = 488.40/x
  3. Step 3: Cross multiply
    533.04x = 734.76 × 488.40
  4. Step 4: Simplify right side
    533.04x = 358,856.78
  5. Step 5: Solve for x
    x = 358,856.78/533.04
  6. Step 6: Final answer
    x = 673.23

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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.