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Finding the Fourth Proportional to 653.97, 902.20 and 433.23

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Solution

The fourth proportional to 653.97, 902.20 and 433.23 is: 597.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.97 : 902.20 = 433.23 : x
  2. Step 2: Convert to fraction form
    653.97/902.20 = 433.23/x
  3. Step 3: Cross multiply
    653.97x = 902.20 × 433.23
  4. Step 4: Simplify right side
    653.97x = 390,860.11
  5. Step 5: Solve for x
    x = 390,860.11/653.97
  6. Step 6: Final answer
    x = 597.67

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Double scale
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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.