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Finding the Fourth Proportional to 614.02, 846.30 and 521.02

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Solution

The fourth proportional to 614.02, 846.30 and 521.02 is: 718.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.02 : 846.30 = 521.02 : x
  2. Step 2: Convert to fraction form
    614.02/846.30 = 521.02/x
  3. Step 3: Cross multiply
    614.02x = 846.30 × 521.02
  4. Step 4: Simplify right side
    614.02x = 440,939.23
  5. Step 5: Solve for x
    x = 440,939.23/614.02
  6. Step 6: Final answer
    x = 718.12

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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.