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Finding the Fourth Proportional to 783.61, 1,174.03 and 698.86

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Solution

The fourth proportional to 783.61, 1,174.03 and 698.86 is: 1,047.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.61 : 1,174.03 = 698.86 : x
  2. Step 2: Convert to fraction form
    783.61/1,174.03 = 698.86/x
  3. Step 3: Cross multiply
    783.61x = 1,174.03 × 698.86
  4. Step 4: Simplify right side
    783.61x = 820,482.61
  5. Step 5: Solve for x
    x = 820,482.61/783.61
  6. Step 6: Final answer
    x = 1,047.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.