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Finding the Fourth Proportional to 653.99, 902.85 and 433.46

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Solution

The fourth proportional to 653.99, 902.85 and 433.46 is: 598.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.99 : 902.85 = 433.46 : x
  2. Step 2: Convert to fraction form
    653.99/902.85 = 433.46/x
  3. Step 3: Cross multiply
    653.99x = 902.85 × 433.46
  4. Step 4: Simplify right side
    653.99x = 391,349.36
  5. Step 5: Solve for x
    x = 391,349.36/653.99
  6. Step 6: Final answer
    x = 598.40

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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.