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Finding the Fourth Proportional to 741.68, 1,023.60 and 476.40

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Solution

The fourth proportional to 741.68, 1,023.60 and 476.40 is: 657.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.68 : 1,023.60 = 476.40 : x
  2. Step 2: Convert to fraction form
    741.68/1,023.60 = 476.40/x
  3. Step 3: Cross multiply
    741.68x = 1,023.60 × 476.40
  4. Step 4: Simplify right side
    741.68x = 487,643.04
  5. Step 5: Solve for x
    x = 487,643.04/741.68
  6. Step 6: Final answer
    x = 657.48

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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.