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Finding the Fourth Proportional to 1,053.48, 1,580.45 and 404.22

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Solution

The fourth proportional to 1,053.48, 1,580.45 and 404.22 is: 606.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.48 : 1,580.45 = 404.22 : x
  2. Step 2: Convert to fraction form
    1,053.48/1,580.45 = 404.22/x
  3. Step 3: Cross multiply
    1,053.48x = 1,580.45 × 404.22
  4. Step 4: Simplify right side
    1,053.48x = 638,849.50
  5. Step 5: Solve for x
    x = 638,849.50/1,053.48
  6. Step 6: Final answer
    x = 606.42

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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.