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Finding the Fourth Proportional to 743.14, 1,024.14 and 546.76

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Solution

The fourth proportional to 743.14, 1,024.14 and 546.76 is: 753.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.14 : 1,024.14 = 546.76 : x
  2. Step 2: Convert to fraction form
    743.14/1,024.14 = 546.76/x
  3. Step 3: Cross multiply
    743.14x = 1,024.14 × 546.76
  4. Step 4: Simplify right side
    743.14x = 559,958.79
  5. Step 5: Solve for x
    x = 559,958.79/743.14
  6. Step 6: Final answer
    x = 753.50

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Half scale
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Double scale
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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.