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Finding the Fourth Proportional to 1,135.12, 1,702.32 and 485.52

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Solution

The fourth proportional to 1,135.12, 1,702.32 and 485.52 is: 728.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.12 : 1,702.32 = 485.52 : x
  2. Step 2: Convert to fraction form
    1,135.12/1,702.32 = 485.52/x
  3. Step 3: Cross multiply
    1,135.12x = 1,702.32 × 485.52
  4. Step 4: Simplify right side
    1,135.12x = 826,510.41
  5. Step 5: Solve for x
    x = 826,510.41/1,135.12
  6. Step 6: Final answer
    x = 728.13

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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.