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Finding the Fourth Proportional to 1,385.04, 2,077.56 and 562.77

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Solution

The fourth proportional to 1,385.04, 2,077.56 and 562.77 is: 844.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.04 : 2,077.56 = 562.77 : x
  2. Step 2: Convert to fraction form
    1,385.04/2,077.56 = 562.77/x
  3. Step 3: Cross multiply
    1,385.04x = 2,077.56 × 562.77
  4. Step 4: Simplify right side
    1,385.04x = 1,169,188.44
  5. Step 5: Solve for x
    x = 1,169,188.44/1,385.04
  6. Step 6: Final answer
    x = 844.16

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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.