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Finding the Fourth Proportional to 423, 583.73 and 340.68

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Solution

The fourth proportional to 423, 583.73 and 340.68 is: 470.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    423 : 583.73 = 340.68 : x
  2. Step 2: Convert to fraction form
    423/583.73 = 340.68/x
  3. Step 3: Cross multiply
    423x = 583.73 × 340.68
  4. Step 4: Simplify right side
    423x = 198,865.14
  5. Step 5: Solve for x
    x = 198,865.14/423
  6. Step 6: Final answer
    x = 470.13

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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.