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Finding the Fourth Proportional to 786.99, 1,088.60 and 737.43

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Solution

The fourth proportional to 786.99, 1,088.60 and 737.43 is: 1,020.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.99 : 1,088.60 = 737.43 : x
  2. Step 2: Convert to fraction form
    786.99/1,088.60 = 737.43/x
  3. Step 3: Cross multiply
    786.99x = 1,088.60 × 737.43
  4. Step 4: Simplify right side
    786.99x = 802,762.61
  5. Step 5: Solve for x
    x = 802,762.61/786.99
  6. Step 6: Final answer
    x = 1,020.04

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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.