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Finding the Fourth Proportional to 741.84, 1,023.72 and 431.40

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Solution

The fourth proportional to 741.84, 1,023.72 and 431.40 is: 595.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.84 : 1,023.72 = 431.40 : x
  2. Step 2: Convert to fraction form
    741.84/1,023.72 = 431.40/x
  3. Step 3: Cross multiply
    741.84x = 1,023.72 × 431.40
  4. Step 4: Simplify right side
    741.84x = 441,632.81
  5. Step 5: Solve for x
    x = 441,632.81/741.84
  6. Step 6: Final answer
    x = 595.32

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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.