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Finding the Fourth Proportional to 889.81, 1,328.81 and 880.16

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Solution

The fourth proportional to 889.81, 1,328.81 and 880.16 is: 1,314.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.81 : 1,328.81 = 880.16 : x
  2. Step 2: Convert to fraction form
    889.81/1,328.81 = 880.16/x
  3. Step 3: Cross multiply
    889.81x = 1,328.81 × 880.16
  4. Step 4: Simplify right side
    889.81x = 1,169,565.41
  5. Step 5: Solve for x
    x = 1,169,565.41/889.81
  6. Step 6: Final answer
    x = 1,314.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.