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Finding the Fourth Proportional to 438.99, 661.95 and 430.77

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Solution

The fourth proportional to 438.99, 661.95 and 430.77 is: 649.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.99 : 661.95 = 430.77 : x
  2. Step 2: Convert to fraction form
    438.99/661.95 = 430.77/x
  3. Step 3: Cross multiply
    438.99x = 661.95 × 430.77
  4. Step 4: Simplify right side
    438.99x = 285,148.20
  5. Step 5: Solve for x
    x = 285,148.20/438.99
  6. Step 6: Final answer
    x = 649.56

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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.