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Finding the Fourth Proportional to 614.79, 846.86 and 509.69

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Solution

The fourth proportional to 614.79, 846.86 and 509.69 is: 702.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.79 : 846.86 = 509.69 : x
  2. Step 2: Convert to fraction form
    614.79/846.86 = 509.69/x
  3. Step 3: Cross multiply
    614.79x = 846.86 × 509.69
  4. Step 4: Simplify right side
    614.79x = 431,635.64
  5. Step 5: Solve for x
    x = 431,635.64/614.79
  6. Step 6: Final answer
    x = 702.09

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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.