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Finding the Fourth Proportional to 716.60, 988.80 and 437.06

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Solution

The fourth proportional to 716.60, 988.80 and 437.06 is: 603.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.60 : 988.80 = 437.06 : x
  2. Step 2: Convert to fraction form
    716.60/988.80 = 437.06/x
  3. Step 3: Cross multiply
    716.60x = 988.80 × 437.06
  4. Step 4: Simplify right side
    716.60x = 432,164.93
  5. Step 5: Solve for x
    x = 432,164.93/716.60
  6. Step 6: Final answer
    x = 603.08

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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.