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Finding the Fourth Proportional to 887.51, 1,328.90 and 783.69

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Solution

The fourth proportional to 887.51, 1,328.90 and 783.69 is: 1,173.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.51 : 1,328.90 = 783.69 : x
  2. Step 2: Convert to fraction form
    887.51/1,328.90 = 783.69/x
  3. Step 3: Cross multiply
    887.51x = 1,328.90 × 783.69
  4. Step 4: Simplify right side
    887.51x = 1,041,441.72
  5. Step 5: Solve for x
    x = 1,041,441.72/887.51
  6. Step 6: Final answer
    x = 1,173.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.