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Finding the Fourth Proportional to 665.01, 1,002.58 and 618.03

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Solution

The fourth proportional to 665.01, 1,002.58 and 618.03 is: 931.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.01 : 1,002.58 = 618.03 : x
  2. Step 2: Convert to fraction form
    665.01/1,002.58 = 618.03/x
  3. Step 3: Cross multiply
    665.01x = 1,002.58 × 618.03
  4. Step 4: Simplify right side
    665.01x = 619,622.97
  5. Step 5: Solve for x
    x = 619,622.97/665.01
  6. Step 6: Final answer
    x = 931.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.