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Finding the Fourth Proportional to 468.24, 703.20 and 407.76

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Solution

The fourth proportional to 468.24, 703.20 and 407.76 is: 612.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.24 : 703.20 = 407.76 : x
  2. Step 2: Convert to fraction form
    468.24/703.20 = 407.76/x
  3. Step 3: Cross multiply
    468.24x = 703.20 × 407.76
  4. Step 4: Simplify right side
    468.24x = 286,736.83
  5. Step 5: Solve for x
    x = 286,736.83/468.24
  6. Step 6: Final answer
    x = 612.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.