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Finding the Fourth Proportional to 847.93, 1,170.13 and 475

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Solution

The fourth proportional to 847.93, 1,170.13 and 475 is: 655.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.93 : 1,170.13 = 475 : x
  2. Step 2: Convert to fraction form
    847.93/1,170.13 = 475/x
  3. Step 3: Cross multiply
    847.93x = 1,170.13 × 475
  4. Step 4: Simplify right side
    847.93x = 555,811.75
  5. Step 5: Solve for x
    x = 555,811.75/847.93
  6. Step 6: Final answer
    x = 655.49

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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.