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Finding the Fourth Proportional to 1,135.02, 1,702.53 and 750.18

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Solution

The fourth proportional to 1,135.02, 1,702.53 and 750.18 is: 1,125.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.02 : 1,702.53 = 750.18 : x
  2. Step 2: Convert to fraction form
    1,135.02/1,702.53 = 750.18/x
  3. Step 3: Cross multiply
    1,135.02x = 1,702.53 × 750.18
  4. Step 4: Simplify right side
    1,135.02x = 1,277,203.96
  5. Step 5: Solve for x
    x = 1,277,203.96/1,135.02
  6. Step 6: Final answer
    x = 1,125.27

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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.