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Finding the Fourth Proportional to 1,023.26, 1,412.05 and 581.18

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Solution

The fourth proportional to 1,023.26, 1,412.05 and 581.18 is: 802.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.26 : 1,412.05 = 581.18 : x
  2. Step 2: Convert to fraction form
    1,023.26/1,412.05 = 581.18/x
  3. Step 3: Cross multiply
    1,023.26x = 1,412.05 × 581.18
  4. Step 4: Simplify right side
    1,023.26x = 820,655.74
  5. Step 5: Solve for x
    x = 820,655.74/1,023.26
  6. Step 6: Final answer
    x = 802.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.