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Finding the Fourth Proportional to 1,024.32, 1,413.53 and 626.65

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Solution

The fourth proportional to 1,024.32, 1,413.53 and 626.65 is: 864.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.32 : 1,413.53 = 626.65 : x
  2. Step 2: Convert to fraction form
    1,024.32/1,413.53 = 626.65/x
  3. Step 3: Cross multiply
    1,024.32x = 1,413.53 × 626.65
  4. Step 4: Simplify right side
    1,024.32x = 885,788.57
  5. Step 5: Solve for x
    x = 885,788.57/1,024.32
  6. Step 6: Final answer
    x = 864.76

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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.