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Finding the Fourth Proportional to 840.63, 1,160.07 and 467.63

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Solution

The fourth proportional to 840.63, 1,160.07 and 467.63 is: 645.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.63 : 1,160.07 = 467.63 : x
  2. Step 2: Convert to fraction form
    840.63/1,160.07 = 467.63/x
  3. Step 3: Cross multiply
    840.63x = 1,160.07 × 467.63
  4. Step 4: Simplify right side
    840.63x = 542,477.73
  5. Step 5: Solve for x
    x = 542,477.73/840.63
  6. Step 6: Final answer
    x = 645.32

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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.