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Finding the Fourth Proportional to 1,023.76, 1,412.70 and 581.64

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Solution

The fourth proportional to 1,023.76, 1,412.70 and 581.64 is: 802.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.76 : 1,412.70 = 581.64 : x
  2. Step 2: Convert to fraction form
    1,023.76/1,412.70 = 581.64/x
  3. Step 3: Cross multiply
    1,023.76x = 1,412.70 × 581.64
  4. Step 4: Simplify right side
    1,023.76x = 821,682.83
  5. Step 5: Solve for x
    x = 821,682.83/1,023.76
  6. Step 6: Final answer
    x = 802.61

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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.