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Finding the Fourth Proportional to 533.08, 734.18 and 459.40

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Solution

The fourth proportional to 533.08, 734.18 and 459.40 is: 632.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.08 : 734.18 = 459.40 : x
  2. Step 2: Convert to fraction form
    533.08/734.18 = 459.40/x
  3. Step 3: Cross multiply
    533.08x = 734.18 × 459.40
  4. Step 4: Simplify right side
    533.08x = 337,282.29
  5. Step 5: Solve for x
    x = 337,282.29/533.08
  6. Step 6: Final answer
    x = 632.70

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1.5x scale

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.