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Finding the Fourth Proportional to 1,023.01, 1,411.53 and 580.81

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Solution

The fourth proportional to 1,023.01, 1,411.53 and 580.81 is: 801.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.01 : 1,411.53 = 580.81 : x
  2. Step 2: Convert to fraction form
    1,023.01/1,411.53 = 580.81/x
  3. Step 3: Cross multiply
    1,023.01x = 1,411.53 × 580.81
  4. Step 4: Simplify right side
    1,023.01x = 819,830.74
  5. Step 5: Solve for x
    x = 819,830.74/1,023.01
  6. Step 6: Final answer
    x = 801.39

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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.