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Finding the Fourth Proportional to 866.42, 1,300.16 and 455.86

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Solution

The fourth proportional to 866.42, 1,300.16 and 455.86 is: 684.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.42 : 1,300.16 = 455.86 : x
  2. Step 2: Convert to fraction form
    866.42/1,300.16 = 455.86/x
  3. Step 3: Cross multiply
    866.42x = 1,300.16 × 455.86
  4. Step 4: Simplify right side
    866.42x = 592,690.94
  5. Step 5: Solve for x
    x = 592,690.94/866.42
  6. Step 6: Final answer
    x = 684.07

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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.