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Finding the Fourth Proportional to 1,043.15, 1,564.88 and 312.63

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Solution

The fourth proportional to 1,043.15, 1,564.88 and 312.63 is: 468.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.15 : 1,564.88 = 312.63 : x
  2. Step 2: Convert to fraction form
    1,043.15/1,564.88 = 312.63/x
  3. Step 3: Cross multiply
    1,043.15x = 1,564.88 × 312.63
  4. Step 4: Simplify right side
    1,043.15x = 489,226.87
  5. Step 5: Solve for x
    x = 489,226.87/1,043.15
  6. Step 6: Final answer
    x = 468.99

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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.