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Finding the Fourth Proportional to 581.22, 870.12 and 509.22

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Solution

The fourth proportional to 581.22, 870.12 and 509.22 is: 762.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.22 : 870.12 = 509.22 : x
  2. Step 2: Convert to fraction form
    581.22/870.12 = 509.22/x
  3. Step 3: Cross multiply
    581.22x = 870.12 × 509.22
  4. Step 4: Simplify right side
    581.22x = 443,082.51
  5. Step 5: Solve for x
    x = 443,082.51/581.22
  6. Step 6: Final answer
    x = 762.33

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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.