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Finding the Fourth Proportional to 495.81, 685.05 and 346.23

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Solution

The fourth proportional to 495.81, 685.05 and 346.23 is: 478.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.81 : 685.05 = 346.23 : x
  2. Step 2: Convert to fraction form
    495.81/685.05 = 346.23/x
  3. Step 3: Cross multiply
    495.81x = 685.05 × 346.23
  4. Step 4: Simplify right side
    495.81x = 237,184.86
  5. Step 5: Solve for x
    x = 237,184.86/495.81
  6. Step 6: Final answer
    x = 478.38

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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.