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Finding the Fourth Proportional to 877.63, 1,313.70 and 646.78

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Solution

The fourth proportional to 877.63, 1,313.70 and 646.78 is: 968.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.63 : 1,313.70 = 646.78 : x
  2. Step 2: Convert to fraction form
    877.63/1,313.70 = 646.78/x
  3. Step 3: Cross multiply
    877.63x = 1,313.70 × 646.78
  4. Step 4: Simplify right side
    877.63x = 849,674.89
  5. Step 5: Solve for x
    x = 849,674.89/877.63
  6. Step 6: Final answer
    x = 968.15

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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.