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Finding the Fourth Proportional to 430.04, 640.83 and 404.07

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Solution

The fourth proportional to 430.04, 640.83 and 404.07 is: 602.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.04 : 640.83 = 404.07 : x
  2. Step 2: Convert to fraction form
    430.04/640.83 = 404.07/x
  3. Step 3: Cross multiply
    430.04x = 640.83 × 404.07
  4. Step 4: Simplify right side
    430.04x = 258,934.95
  5. Step 5: Solve for x
    x = 258,934.95/430.04
  6. Step 6: Final answer
    x = 602.12

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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.