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Finding the Fourth Proportional to 684.58, 1,026.06 and 523.12

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Solution

The fourth proportional to 684.58, 1,026.06 and 523.12 is: 784.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.58 : 1,026.06 = 523.12 : x
  2. Step 2: Convert to fraction form
    684.58/1,026.06 = 523.12/x
  3. Step 3: Cross multiply
    684.58x = 1,026.06 × 523.12
  4. Step 4: Simplify right side
    684.58x = 536,752.51
  5. Step 5: Solve for x
    x = 536,752.51/684.58
  6. Step 6: Final answer
    x = 784.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.