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Finding the Fourth Proportional to 771.84, 1,064.07 and 615.00

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Solution

The fourth proportional to 771.84, 1,064.07 and 615.00 is: 847.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.84 : 1,064.07 = 615.00 : x
  2. Step 2: Convert to fraction form
    771.84/1,064.07 = 615.00/x
  3. Step 3: Cross multiply
    771.84x = 1,064.07 × 615.00
  4. Step 4: Simplify right side
    771.84x = 654,407.04
  5. Step 5: Solve for x
    x = 654,407.04/771.84
  6. Step 6: Final answer
    x = 847.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.