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Finding the Fourth Proportional to 613.90, 847.02 and 417.07

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Solution

The fourth proportional to 613.90, 847.02 and 417.07 is: 575.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.90 : 847.02 = 417.07 : x
  2. Step 2: Convert to fraction form
    613.90/847.02 = 417.07/x
  3. Step 3: Cross multiply
    613.90x = 847.02 × 417.07
  4. Step 4: Simplify right side
    613.90x = 353,266.63
  5. Step 5: Solve for x
    x = 353,266.63/613.90
  6. Step 6: Final answer
    x = 575.45

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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.