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Finding the Fourth Proportional to 645.12, 966.12 and 436.50

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Solution

The fourth proportional to 645.12, 966.12 and 436.50 is: 653.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.12 : 966.12 = 436.50 : x
  2. Step 2: Convert to fraction form
    645.12/966.12 = 436.50/x
  3. Step 3: Cross multiply
    645.12x = 966.12 × 436.50
  4. Step 4: Simplify right side
    645.12x = 421,711.38
  5. Step 5: Solve for x
    x = 421,711.38/645.12
  6. Step 6: Final answer
    x = 653.69

Related Problems

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Half scale
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Double scale
Find fourth proportional to 646.12, 967.62 and 437.50
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.