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Finding the Fourth Proportional to 534.75, 737.10 and 357.42

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Solution

The fourth proportional to 534.75, 737.10 and 357.42 is: 492.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.75 : 737.10 = 357.42 : x
  2. Step 2: Convert to fraction form
    534.75/737.10 = 357.42/x
  3. Step 3: Cross multiply
    534.75x = 737.10 × 357.42
  4. Step 4: Simplify right side
    534.75x = 263,454.28
  5. Step 5: Solve for x
    x = 263,454.28/534.75
  6. Step 6: Final answer
    x = 492.67

Related Problems

Find fourth proportional to 267.38, 368.55 and 178.71
Half scale
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Double scale
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Similar ratio
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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.