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Finding the Fourth Proportional to 781.00, 1,075.58 and 763.99

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Solution

The fourth proportional to 781.00, 1,075.58 and 763.99 is: 1,052.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.00 : 1,075.58 = 763.99 : x
  2. Step 2: Convert to fraction form
    781.00/1,075.58 = 763.99/x
  3. Step 3: Cross multiply
    781.00x = 1,075.58 × 763.99
  4. Step 4: Simplify right side
    781.00x = 821,725.86
  5. Step 5: Solve for x
    x = 821,725.86/781.00
  6. Step 6: Final answer
    x = 1,052.15

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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.