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Finding the Fourth Proportional to 889.60, 1,328.72 and 760

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Solution

The fourth proportional to 889.60, 1,328.72 and 760 is: 1,135.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.60 : 1,328.72 = 760 : x
  2. Step 2: Convert to fraction form
    889.60/1,328.72 = 760/x
  3. Step 3: Cross multiply
    889.60x = 1,328.72 × 760
  4. Step 4: Simplify right side
    889.60x = 1,009,827.20
  5. Step 5: Solve for x
    x = 1,009,827.20/889.60
  6. Step 6: Final answer
    x = 1,135.15

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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.