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Finding the Fourth Proportional to 741.09, 1,022.04 and 617.16

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Solution

The fourth proportional to 741.09, 1,022.04 and 617.16 is: 851.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.09 : 1,022.04 = 617.16 : x
  2. Step 2: Convert to fraction form
    741.09/1,022.04 = 617.16/x
  3. Step 3: Cross multiply
    741.09x = 1,022.04 × 617.16
  4. Step 4: Simplify right side
    741.09x = 630,762.21
  5. Step 5: Solve for x
    x = 630,762.21/741.09
  6. Step 6: Final answer
    x = 851.13

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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.