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Finding the Fourth Proportional to 495.07, 682.90 and 429.46

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Solution

The fourth proportional to 495.07, 682.90 and 429.46 is: 592.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.07 : 682.90 = 429.46 : x
  2. Step 2: Convert to fraction form
    495.07/682.90 = 429.46/x
  3. Step 3: Cross multiply
    495.07x = 682.90 × 429.46
  4. Step 4: Simplify right side
    495.07x = 293,278.23
  5. Step 5: Solve for x
    x = 293,278.23/495.07
  6. Step 6: Final answer
    x = 592.40

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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.