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Finding the Fourth Proportional to 1,005.15, 1,505.70 and 697.35

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Solution

The fourth proportional to 1,005.15, 1,505.70 and 697.35 is: 1,044.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.15 : 1,505.70 = 697.35 : x
  2. Step 2: Convert to fraction form
    1,005.15/1,505.70 = 697.35/x
  3. Step 3: Cross multiply
    1,005.15x = 1,505.70 × 697.35
  4. Step 4: Simplify right side
    1,005.15x = 1,049,999.90
  5. Step 5: Solve for x
    x = 1,049,999.90/1,005.15
  6. Step 6: Final answer
    x = 1,044.62

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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.