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Finding the Fourth Proportional to 1,043.13, 1,564.64 and 312.72

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Solution

The fourth proportional to 1,043.13, 1,564.64 and 312.72 is: 469.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.13 : 1,564.64 = 312.72 : x
  2. Step 2: Convert to fraction form
    1,043.13/1,564.64 = 312.72/x
  3. Step 3: Cross multiply
    1,043.13x = 1,564.64 × 312.72
  4. Step 4: Simplify right side
    1,043.13x = 489,292.66
  5. Step 5: Solve for x
    x = 489,292.66/1,043.13
  6. Step 6: Final answer
    x = 469.06

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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.