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Finding the Fourth Proportional to 1,023.41, 1,535.12 and 292.99

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Solution

The fourth proportional to 1,023.41, 1,535.12 and 292.99 is: 439.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.41 : 1,535.12 = 292.99 : x
  2. Step 2: Convert to fraction form
    1,023.41/1,535.12 = 292.99/x
  3. Step 3: Cross multiply
    1,023.41x = 1,535.12 × 292.99
  4. Step 4: Simplify right side
    1,023.41x = 449,774.81
  5. Step 5: Solve for x
    x = 449,774.81/1,023.41
  6. Step 6: Final answer
    x = 439.49

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.