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Finding the Fourth Proportional to 1,055.03, 1,582.08 and 324.43

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Solution

The fourth proportional to 1,055.03, 1,582.08 and 324.43 is: 486.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.03 : 1,582.08 = 324.43 : x
  2. Step 2: Convert to fraction form
    1,055.03/1,582.08 = 324.43/x
  3. Step 3: Cross multiply
    1,055.03x = 1,582.08 × 324.43
  4. Step 4: Simplify right side
    1,055.03x = 513,275.32
  5. Step 5: Solve for x
    x = 513,275.32/1,055.03
  6. Step 6: Final answer
    x = 486.51

Related Problems

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