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Finding the Fourth Proportional to 614.51, 847.34 and 556.19

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Solution

The fourth proportional to 614.51, 847.34 and 556.19 is: 766.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.51 : 847.34 = 556.19 : x
  2. Step 2: Convert to fraction form
    614.51/847.34 = 556.19/x
  3. Step 3: Cross multiply
    614.51x = 847.34 × 556.19
  4. Step 4: Simplify right side
    614.51x = 471,275.02
  5. Step 5: Solve for x
    x = 471,275.02/614.51
  6. Step 6: Final answer
    x = 766.92

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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.