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Finding the Fourth Proportional to 850.37, 1,174.10 and 654.35

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Solution

The fourth proportional to 850.37, 1,174.10 and 654.35 is: 903.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.37 : 1,174.10 = 654.35 : x
  2. Step 2: Convert to fraction form
    850.37/1,174.10 = 654.35/x
  3. Step 3: Cross multiply
    850.37x = 1,174.10 × 654.35
  4. Step 4: Simplify right side
    850.37x = 768,263.19
  5. Step 5: Solve for x
    x = 768,263.19/850.37
  6. Step 6: Final answer
    x = 903.45

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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.