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Finding the Fourth Proportional to 877.13, 1,312.95 and 646.28

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Solution

The fourth proportional to 877.13, 1,312.95 and 646.28 is: 967.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.13 : 1,312.95 = 646.28 : x
  2. Step 2: Convert to fraction form
    877.13/1,312.95 = 646.28/x
  3. Step 3: Cross multiply
    877.13x = 1,312.95 × 646.28
  4. Step 4: Simplify right side
    877.13x = 848,533.33
  5. Step 5: Solve for x
    x = 848,533.33/877.13
  6. Step 6: Final answer
    x = 967.40

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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.