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Finding the Fourth Proportional to 654.91, 902.91 and 486.32

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Solution

The fourth proportional to 654.91, 902.91 and 486.32 is: 670.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.91 : 902.91 = 486.32 : x
  2. Step 2: Convert to fraction form
    654.91/902.91 = 486.32/x
  3. Step 3: Cross multiply
    654.91x = 902.91 × 486.32
  4. Step 4: Simplify right side
    654.91x = 439,103.19
  5. Step 5: Solve for x
    x = 439,103.19/654.91
  6. Step 6: Final answer
    x = 670.48

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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.