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Finding the Fourth Proportional to 743.41, 1,024.83 and 521.68

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Solution

The fourth proportional to 743.41, 1,024.83 and 521.68 is: 719.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.41 : 1,024.83 = 521.68 : x
  2. Step 2: Convert to fraction form
    743.41/1,024.83 = 521.68/x
  3. Step 3: Cross multiply
    743.41x = 1,024.83 × 521.68
  4. Step 4: Simplify right side
    743.41x = 534,633.31
  5. Step 5: Solve for x
    x = 534,633.31/743.41
  6. Step 6: Final answer
    x = 719.16

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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.