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Finding the Fourth Proportional to 710.88, 980.64 and 478.08

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Solution

The fourth proportional to 710.88, 980.64 and 478.08 is: 659.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.88 : 980.64 = 478.08 : x
  2. Step 2: Convert to fraction form
    710.88/980.64 = 478.08/x
  3. Step 3: Cross multiply
    710.88x = 980.64 × 478.08
  4. Step 4: Simplify right side
    710.88x = 468,824.37
  5. Step 5: Solve for x
    x = 468,824.37/710.88
  6. Step 6: Final answer
    x = 659.50

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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.