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Finding the Fourth Proportional to 709.47, 976.63 and 614.91

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Solution

The fourth proportional to 709.47, 976.63 and 614.91 is: 846.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.47 : 976.63 = 614.91 : x
  2. Step 2: Convert to fraction form
    709.47/976.63 = 614.91/x
  3. Step 3: Cross multiply
    709.47x = 976.63 × 614.91
  4. Step 4: Simplify right side
    709.47x = 600,539.55
  5. Step 5: Solve for x
    x = 600,539.55/709.47
  6. Step 6: Final answer
    x = 846.46

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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.