Home / 1,432.30-1,976.40-802.68

Finding the Fourth Proportional to 1,432.30, 1,976.40 and 802.68

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Solution

The fourth proportional to 1,432.30, 1,976.40 and 802.68 is: 1,107.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.30 : 1,976.40 = 802.68 : x
  2. Step 2: Convert to fraction form
    1,432.30/1,976.40 = 802.68/x
  3. Step 3: Cross multiply
    1,432.30x = 1,976.40 × 802.68
  4. Step 4: Simplify right side
    1,432.30x = 1,586,413.74
  5. Step 5: Solve for x
    x = 1,586,413.74/1,432.30
  6. Step 6: Final answer
    x = 1,107.60

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1.5x scale

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.