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Finding the Fourth Proportional to 478.60, 715.37 and 467.08

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Solution

The fourth proportional to 478.60, 715.37 and 467.08 is: 698.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.60 : 715.37 = 467.08 : x
  2. Step 2: Convert to fraction form
    478.60/715.37 = 467.08/x
  3. Step 3: Cross multiply
    478.60x = 715.37 × 467.08
  4. Step 4: Simplify right side
    478.60x = 334,135.02
  5. Step 5: Solve for x
    x = 334,135.02/478.60
  6. Step 6: Final answer
    x = 698.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.