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Finding the Fourth Proportional to 1,077.42, 1,615.62 and 460.77

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Solution

The fourth proportional to 1,077.42, 1,615.62 and 460.77 is: 690.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.42 : 1,615.62 = 460.77 : x
  2. Step 2: Convert to fraction form
    1,077.42/1,615.62 = 460.77/x
  3. Step 3: Cross multiply
    1,077.42x = 1,615.62 × 460.77
  4. Step 4: Simplify right side
    1,077.42x = 744,429.23
  5. Step 5: Solve for x
    x = 744,429.23/1,077.42
  6. Step 6: Final answer
    x = 690.94

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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.