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Finding the Fourth Proportional to 407.70, 612.36 and 407.03

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Solution

The fourth proportional to 407.70, 612.36 and 407.03 is: 611.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.70 : 612.36 = 407.03 : x
  2. Step 2: Convert to fraction form
    407.70/612.36 = 407.03/x
  3. Step 3: Cross multiply
    407.70x = 612.36 × 407.03
  4. Step 4: Simplify right side
    407.70x = 249,245.83
  5. Step 5: Solve for x
    x = 249,245.83/407.70
  6. Step 6: Final answer
    x = 611.35

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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.