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Finding the Fourth Proportional to 1,153.50, 1,591.12 and 705.16

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Solution

The fourth proportional to 1,153.50, 1,591.12 and 705.16 is: 972.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.50 : 1,591.12 = 705.16 : x
  2. Step 2: Convert to fraction form
    1,153.50/1,591.12 = 705.16/x
  3. Step 3: Cross multiply
    1,153.50x = 1,591.12 × 705.16
  4. Step 4: Simplify right side
    1,153.50x = 1,121,994.18
  5. Step 5: Solve for x
    x = 1,121,994.18/1,153.50
  6. Step 6: Final answer
    x = 972.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.