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Finding the Fourth Proportional to 614.96, 846.48 and 556.64

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Solution

The fourth proportional to 614.96, 846.48 and 556.64 is: 766.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.96 : 846.48 = 556.64 : x
  2. Step 2: Convert to fraction form
    614.96/846.48 = 556.64/x
  3. Step 3: Cross multiply
    614.96x = 846.48 × 556.64
  4. Step 4: Simplify right side
    614.96x = 471,184.63
  5. Step 5: Solve for x
    x = 471,184.63/614.96
  6. Step 6: Final answer
    x = 766.20

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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.