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Finding the Fourth Proportional to 1,020.52, 1,408.28 and 554.76

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Solution

The fourth proportional to 1,020.52, 1,408.28 and 554.76 is: 765.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.52 : 1,408.28 = 554.76 : x
  2. Step 2: Convert to fraction form
    1,020.52/1,408.28 = 554.76/x
  3. Step 3: Cross multiply
    1,020.52x = 1,408.28 × 554.76
  4. Step 4: Simplify right side
    1,020.52x = 781,257.41
  5. Step 5: Solve for x
    x = 781,257.41/1,020.52
  6. Step 6: Final answer
    x = 765.55

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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.