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Finding the Fourth Proportional to 411.18, 612.87 and 407.99

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Solution

The fourth proportional to 411.18, 612.87 and 407.99 is: 608.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.18 : 612.87 = 407.99 : x
  2. Step 2: Convert to fraction form
    411.18/612.87 = 407.99/x
  3. Step 3: Cross multiply
    411.18x = 612.87 × 407.99
  4. Step 4: Simplify right side
    411.18x = 250,041.77
  5. Step 5: Solve for x
    x = 250,041.77/411.18
  6. Step 6: Final answer
    x = 608.11

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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.