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Finding the Fourth Proportional to 738.40, 1,020 and 716.80

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Solution

The fourth proportional to 738.40, 1,020 and 716.80 is: 990.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.40 : 1,020 = 716.80 : x
  2. Step 2: Convert to fraction form
    738.40/1,020 = 716.80/x
  3. Step 3: Cross multiply
    738.40x = 1,020 × 716.80
  4. Step 4: Simplify right side
    738.40x = 731,136
  5. Step 5: Solve for x
    x = 731,136/738.40
  6. Step 6: Final answer
    x = 990.16

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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.