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Finding the Fourth Proportional to 430.38, 643.01 and 416.04

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Solution

The fourth proportional to 430.38, 643.01 and 416.04 is: 621.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.38 : 643.01 = 416.04 : x
  2. Step 2: Convert to fraction form
    430.38/643.01 = 416.04/x
  3. Step 3: Cross multiply
    430.38x = 643.01 × 416.04
  4. Step 4: Simplify right side
    430.38x = 267,515.80
  5. Step 5: Solve for x
    x = 267,515.80/430.38
  6. Step 6: Final answer
    x = 621.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.