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Finding the Fourth Proportional to 856.63, 1,284.95 and 467.02

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Solution

The fourth proportional to 856.63, 1,284.95 and 467.02 is: 700.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.63 : 1,284.95 = 467.02 : x
  2. Step 2: Convert to fraction form
    856.63/1,284.95 = 467.02/x
  3. Step 3: Cross multiply
    856.63x = 1,284.95 × 467.02
  4. Step 4: Simplify right side
    856.63x = 600,097.35
  5. Step 5: Solve for x
    x = 600,097.35/856.63
  6. Step 6: Final answer
    x = 700.53

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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.