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Finding the Fourth Proportional to 710.67, 981.20 and 459.06

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Solution

The fourth proportional to 710.67, 981.20 and 459.06 is: 633.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.67 : 981.20 = 459.06 : x
  2. Step 2: Convert to fraction form
    710.67/981.20 = 459.06/x
  3. Step 3: Cross multiply
    710.67x = 981.20 × 459.06
  4. Step 4: Simplify right side
    710.67x = 450,427.38
  5. Step 5: Solve for x
    x = 450,427.38/710.67
  6. Step 6: Final answer
    x = 633.81

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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.