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Finding the Fourth Proportional to 855.63, 1,180.77 and 462.65

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Solution

The fourth proportional to 855.63, 1,180.77 and 462.65 is: 638.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.63 : 1,180.77 = 462.65 : x
  2. Step 2: Convert to fraction form
    855.63/1,180.77 = 462.65/x
  3. Step 3: Cross multiply
    855.63x = 1,180.77 × 462.65
  4. Step 4: Simplify right side
    855.63x = 546,280.93
  5. Step 5: Solve for x
    x = 546,280.93/855.63
  6. Step 6: Final answer
    x = 638.45

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1.5x scale

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.