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Finding the Fourth Proportional to 740.07, 1,020.34 and 606.80

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Solution

The fourth proportional to 740.07, 1,020.34 and 606.80 is: 836.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.07 : 1,020.34 = 606.80 : x
  2. Step 2: Convert to fraction form
    740.07/1,020.34 = 606.80/x
  3. Step 3: Cross multiply
    740.07x = 1,020.34 × 606.80
  4. Step 4: Simplify right side
    740.07x = 619,143.35
  5. Step 5: Solve for x
    x = 619,143.35/740.07
  6. Step 6: Final answer
    x = 836.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.