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Finding the Fourth Proportional to 1,000.99, 1,501.47 and 270.56

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Solution

The fourth proportional to 1,000.99, 1,501.47 and 270.56 is: 405.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.99 : 1,501.47 = 270.56 : x
  2. Step 2: Convert to fraction form
    1,000.99/1,501.47 = 270.56/x
  3. Step 3: Cross multiply
    1,000.99x = 1,501.47 × 270.56
  4. Step 4: Simplify right side
    1,000.99x = 406,242.49
  5. Step 5: Solve for x
    x = 406,242.49/1,000.99
  6. Step 6: Final answer
    x = 405.84

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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.