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Finding the Fourth Proportional to 846.60, 1,264.98 and 647.84

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Solution

The fourth proportional to 846.60, 1,264.98 and 647.84 is: 968.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.60 : 1,264.98 = 647.84 : x
  2. Step 2: Convert to fraction form
    846.60/1,264.98 = 647.84/x
  3. Step 3: Cross multiply
    846.60x = 1,264.98 × 647.84
  4. Step 4: Simplify right side
    846.60x = 819,504.64
  5. Step 5: Solve for x
    x = 819,504.64/846.60
  6. Step 6: Final answer
    x = 968.00

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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.