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Finding the Fourth Proportional to 495.58, 746.10 and 438.12

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Solution

The fourth proportional to 495.58, 746.10 and 438.12 is: 659.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.58 : 746.10 = 438.12 : x
  2. Step 2: Convert to fraction form
    495.58/746.10 = 438.12/x
  3. Step 3: Cross multiply
    495.58x = 746.10 × 438.12
  4. Step 4: Simplify right side
    495.58x = 326,881.33
  5. Step 5: Solve for x
    x = 326,881.33/495.58
  6. Step 6: Final answer
    x = 659.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.