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Finding the Fourth Proportional to 430.74, 641.76 and 410.10

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Solution

The fourth proportional to 430.74, 641.76 and 410.10 is: 611.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.74 : 641.76 = 410.10 : x
  2. Step 2: Convert to fraction form
    430.74/641.76 = 410.10/x
  3. Step 3: Cross multiply
    430.74x = 641.76 × 410.10
  4. Step 4: Simplify right side
    430.74x = 263,185.78
  5. Step 5: Solve for x
    x = 263,185.78/430.74
  6. Step 6: Final answer
    x = 611.01

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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.