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Finding the Fourth Proportional to 847.89, 1,170.09 and 474.89

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Solution

The fourth proportional to 847.89, 1,170.09 and 474.89 is: 655.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.89 : 1,170.09 = 474.89 : x
  2. Step 2: Convert to fraction form
    847.89/1,170.09 = 474.89/x
  3. Step 3: Cross multiply
    847.89x = 1,170.09 × 474.89
  4. Step 4: Simplify right side
    847.89x = 555,658.19
  5. Step 5: Solve for x
    x = 555,658.19/847.89
  6. Step 6: Final answer
    x = 655.34

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1.5x scale

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.