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Finding the Fourth Proportional to 533.79, 736.70 and 312.75

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Solution

The fourth proportional to 533.79, 736.70 and 312.75 is: 431.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.79 : 736.70 = 312.75 : x
  2. Step 2: Convert to fraction form
    533.79/736.70 = 312.75/x
  3. Step 3: Cross multiply
    533.79x = 736.70 × 312.75
  4. Step 4: Simplify right side
    533.79x = 230,401.36
  5. Step 5: Solve for x
    x = 230,401.36/533.79
  6. Step 6: Final answer
    x = 431.63

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Find fourth proportional to 266.90, 368.35 and 156.38
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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.