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Finding the Fourth Proportional to 1,009.26, 1,504.98 and 899.91

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Solution

The fourth proportional to 1,009.26, 1,504.98 and 899.91 is: 1,341.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.26 : 1,504.98 = 899.91 : x
  2. Step 2: Convert to fraction form
    1,009.26/1,504.98 = 899.91/x
  3. Step 3: Cross multiply
    1,009.26x = 1,504.98 × 899.91
  4. Step 4: Simplify right side
    1,009.26x = 1,354,346.55
  5. Step 5: Solve for x
    x = 1,354,346.55/1,009.26
  6. Step 6: Final answer
    x = 1,341.92

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Half scale
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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.