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Finding the Fourth Proportional to 1,152.80, 1,590.90 and 628.88

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Solution

The fourth proportional to 1,152.80, 1,590.90 and 628.88 is: 867.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.80 : 1,590.90 = 628.88 : x
  2. Step 2: Convert to fraction form
    1,152.80/1,590.90 = 628.88/x
  3. Step 3: Cross multiply
    1,152.80x = 1,590.90 × 628.88
  4. Step 4: Simplify right side
    1,152.80x = 1,000,485.19
  5. Step 5: Solve for x
    x = 1,000,485.19/1,152.80
  6. Step 6: Final answer
    x = 867.87

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