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Finding the Fourth Proportional to 410.80, 612.62 and 407.20

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Solution

The fourth proportional to 410.80, 612.62 and 407.20 is: 607.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.80 : 612.62 = 407.20 : x
  2. Step 2: Convert to fraction form
    410.80/612.62 = 407.20/x
  3. Step 3: Cross multiply
    410.80x = 612.62 × 407.20
  4. Step 4: Simplify right side
    410.80x = 249,458.86
  5. Step 5: Solve for x
    x = 249,458.86/410.80
  6. Step 6: Final answer
    x = 607.25

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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.