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Finding the Fourth Proportional to 1,134.42, 1,701.63 and 312.77

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Solution

The fourth proportional to 1,134.42, 1,701.63 and 312.77 is: 469.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.42 : 1,701.63 = 312.77 : x
  2. Step 2: Convert to fraction form
    1,134.42/1,701.63 = 312.77/x
  3. Step 3: Cross multiply
    1,134.42x = 1,701.63 × 312.77
  4. Step 4: Simplify right side
    1,134.42x = 532,210.31
  5. Step 5: Solve for x
    x = 532,210.31/1,134.42
  6. Step 6: Final answer
    x = 469.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.