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Finding the Fourth Proportional to 1,152.84, 1,731.06 and 934.32

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Solution

The fourth proportional to 1,152.84, 1,731.06 and 934.32 is: 1,402.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.84 : 1,731.06 = 934.32 : x
  2. Step 2: Convert to fraction form
    1,152.84/1,731.06 = 934.32/x
  3. Step 3: Cross multiply
    1,152.84x = 1,731.06 × 934.32
  4. Step 4: Simplify right side
    1,152.84x = 1,617,363.98
  5. Step 5: Solve for x
    x = 1,617,363.98/1,152.84
  6. Step 6: Final answer
    x = 1,402.94

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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.