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Finding the Fourth Proportional to 410.94, 612.47 and 407.55

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Solution

The fourth proportional to 410.94, 612.47 and 407.55 is: 607.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.94 : 612.47 = 407.55 : x
  2. Step 2: Convert to fraction form
    410.94/612.47 = 407.55/x
  3. Step 3: Cross multiply
    410.94x = 612.47 × 407.55
  4. Step 4: Simplify right side
    410.94x = 249,610.11
  5. Step 5: Solve for x
    x = 249,610.11/410.94
  6. Step 6: Final answer
    x = 607.41

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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.