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Finding the Fourth Proportional to 648.94, 895.35 and 586.57

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Solution

The fourth proportional to 648.94, 895.35 and 586.57 is: 809.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.94 : 895.35 = 586.57 : x
  2. Step 2: Convert to fraction form
    648.94/895.35 = 586.57/x
  3. Step 3: Cross multiply
    648.94x = 895.35 × 586.57
  4. Step 4: Simplify right side
    648.94x = 525,185.45
  5. Step 5: Solve for x
    x = 525,185.45/648.94
  6. Step 6: Final answer
    x = 809.30

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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.