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Finding the Fourth Proportional to 1,152.27, 1,590.14 and 628.31

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Solution

The fourth proportional to 1,152.27, 1,590.14 and 628.31 is: 867.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.27 : 1,590.14 = 628.31 : x
  2. Step 2: Convert to fraction form
    1,152.27/1,590.14 = 628.31/x
  3. Step 3: Cross multiply
    1,152.27x = 1,590.14 × 628.31
  4. Step 4: Simplify right side
    1,152.27x = 999,089.77
  5. Step 5: Solve for x
    x = 999,089.77/1,152.27
  6. Step 6: Final answer
    x = 867.06

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Why These Related Problems?

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