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Finding the Fourth Proportional to 1,576.50, 2,364.93 and 807.18

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Solution

The fourth proportional to 1,576.50, 2,364.93 and 807.18 is: 1,210.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.50 : 2,364.93 = 807.18 : x
  2. Step 2: Convert to fraction form
    1,576.50/2,364.93 = 807.18/x
  3. Step 3: Cross multiply
    1,576.50x = 2,364.93 × 807.18
  4. Step 4: Simplify right side
    1,576.50x = 1,908,924.20
  5. Step 5: Solve for x
    x = 1,908,924.20/1,576.50
  6. Step 6: Final answer
    x = 1,210.86

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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.