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Finding the Fourth Proportional to 877.02, 1,316.43 and 646.17

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Solution

The fourth proportional to 877.02, 1,316.43 and 646.17 is: 969.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.02 : 1,316.43 = 646.17 : x
  2. Step 2: Convert to fraction form
    877.02/1,316.43 = 646.17/x
  3. Step 3: Cross multiply
    877.02x = 1,316.43 × 646.17
  4. Step 4: Simplify right side
    877.02x = 850,637.57
  5. Step 5: Solve for x
    x = 850,637.57/877.02
  6. Step 6: Final answer
    x = 969.92

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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.