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Finding the Fourth Proportional to 437.63, 661.40 and 430.07

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Solution

The fourth proportional to 437.63, 661.40 and 430.07 is: 649.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.63 : 661.40 = 430.07 : x
  2. Step 2: Convert to fraction form
    437.63/661.40 = 430.07/x
  3. Step 3: Cross multiply
    437.63x = 661.40 × 430.07
  4. Step 4: Simplify right side
    437.63x = 284,442.84
  5. Step 5: Solve for x
    x = 284,442.84/437.63
  6. Step 6: Final answer
    x = 649.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.