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Finding the Fourth Proportional to 410.94, 612.45 and 407.54

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Solution

The fourth proportional to 410.94, 612.45 and 407.54 is: 607.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.94 : 612.45 = 407.54 : x
  2. Step 2: Convert to fraction form
    410.94/612.45 = 407.54/x
  3. Step 3: Cross multiply
    410.94x = 612.45 × 407.54
  4. Step 4: Simplify right side
    410.94x = 249,599.40
  5. Step 5: Solve for x
    x = 249,599.40/410.94
  6. Step 6: Final answer
    x = 607.39

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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.