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Finding the Fourth Proportional to 443.06, 659.37 and 430.10

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Solution

The fourth proportional to 443.06, 659.37 and 430.10 is: 640.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.06 : 659.37 = 430.10 : x
  2. Step 2: Convert to fraction form
    443.06/659.37 = 430.10/x
  3. Step 3: Cross multiply
    443.06x = 659.37 × 430.10
  4. Step 4: Simplify right side
    443.06x = 283,592.89
  5. Step 5: Solve for x
    x = 283,592.89/443.06
  6. Step 6: Final answer
    x = 640.08

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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.