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Finding the Fourth Proportional to 430.39, 640.64 and 410.47

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Solution

The fourth proportional to 430.39, 640.64 and 410.47 is: 610.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.39 : 640.64 = 410.47 : x
  2. Step 2: Convert to fraction form
    430.39/640.64 = 410.47/x
  3. Step 3: Cross multiply
    430.39x = 640.64 × 410.47
  4. Step 4: Simplify right side
    430.39x = 262,963.50
  5. Step 5: Solve for x
    x = 262,963.50/430.39
  6. Step 6: Final answer
    x = 610.99

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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.