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Finding the Fourth Proportional to 477.65, 659.19 and 330.23

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Solution

The fourth proportional to 477.65, 659.19 and 330.23 is: 455.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.65 : 659.19 = 330.23 : x
  2. Step 2: Convert to fraction form
    477.65/659.19 = 330.23/x
  3. Step 3: Cross multiply
    477.65x = 659.19 × 330.23
  4. Step 4: Simplify right side
    477.65x = 217,681.02
  5. Step 5: Solve for x
    x = 217,681.02/477.65
  6. Step 6: Final answer
    x = 455.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.