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Finding the Fourth Proportional to 685.06, 944.25 and 510.34

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Solution

The fourth proportional to 685.06, 944.25 and 510.34 is: 703.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.06 : 944.25 = 510.34 : x
  2. Step 2: Convert to fraction form
    685.06/944.25 = 510.34/x
  3. Step 3: Cross multiply
    685.06x = 944.25 × 510.34
  4. Step 4: Simplify right side
    685.06x = 481,888.55
  5. Step 5: Solve for x
    x = 481,888.55/685.06
  6. Step 6: Final answer
    x = 703.43

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1.5x scale

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.