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Finding the Fourth Proportional to 1,702.90, 2,558.40 and 1,524.70

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Solution

The fourth proportional to 1,702.90, 2,558.40 and 1,524.70 is: 2,290.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.90 : 2,558.40 = 1,524.70 : x
  2. Step 2: Convert to fraction form
    1,702.90/2,558.40 = 1,524.70/x
  3. Step 3: Cross multiply
    1,702.90x = 2,558.40 × 1,524.70
  4. Step 4: Simplify right side
    1,702.90x = 3,900,792.48
  5. Step 5: Solve for x
    x = 3,900,792.48/1,702.90
  6. Step 6: Final answer
    x = 2,290.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.