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Finding the Fourth Proportional to 783.33, 1,170.28 and 693.01

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Solution

The fourth proportional to 783.33, 1,170.28 and 693.01 is: 1,035.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.33 : 1,170.28 = 693.01 : x
  2. Step 2: Convert to fraction form
    783.33/1,170.28 = 693.01/x
  3. Step 3: Cross multiply
    783.33x = 1,170.28 × 693.01
  4. Step 4: Simplify right side
    783.33x = 811,015.74
  5. Step 5: Solve for x
    x = 811,015.74/783.33
  6. Step 6: Final answer
    x = 1,035.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.