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Finding the Fourth Proportional to 1,000.96, 1,506.85 and 900.49

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Solution

The fourth proportional to 1,000.96, 1,506.85 and 900.49 is: 1,355.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.96 : 1,506.85 = 900.49 : x
  2. Step 2: Convert to fraction form
    1,000.96/1,506.85 = 900.49/x
  3. Step 3: Cross multiply
    1,000.96x = 1,506.85 × 900.49
  4. Step 4: Simplify right side
    1,000.96x = 1,356,909.47
  5. Step 5: Solve for x
    x = 1,356,909.47/1,000.96
  6. Step 6: Final answer
    x = 1,355.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.