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Finding the Fourth Proportional to 476.70, 718.07 and 433.65

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Solution

The fourth proportional to 476.70, 718.07 and 433.65 is: 653.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.70 : 718.07 = 433.65 : x
  2. Step 2: Convert to fraction form
    476.70/718.07 = 433.65/x
  3. Step 3: Cross multiply
    476.70x = 718.07 × 433.65
  4. Step 4: Simplify right side
    476.70x = 311,387.47
  5. Step 5: Solve for x
    x = 311,387.47/476.70
  6. Step 6: Final answer
    x = 653.21

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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.