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Finding the Fourth Proportional to 1,042.58, 1,564.14 and 312.16

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Solution

The fourth proportional to 1,042.58, 1,564.14 and 312.16 is: 468.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.58 : 1,564.14 = 312.16 : x
  2. Step 2: Convert to fraction form
    1,042.58/1,564.14 = 312.16/x
  3. Step 3: Cross multiply
    1,042.58x = 1,564.14 × 312.16
  4. Step 4: Simplify right side
    1,042.58x = 488,252.56
  5. Step 5: Solve for x
    x = 488,252.56/1,042.58
  6. Step 6: Final answer
    x = 468.31

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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.