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Finding the Fourth Proportional to 995.15, 1,491.57 and 525.35

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Solution

The fourth proportional to 995.15, 1,491.57 and 525.35 is: 787.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.15 : 1,491.57 = 525.35 : x
  2. Step 2: Convert to fraction form
    995.15/1,491.57 = 525.35/x
  3. Step 3: Cross multiply
    995.15x = 1,491.57 × 525.35
  4. Step 4: Simplify right side
    995.15x = 783,588.84
  5. Step 5: Solve for x
    x = 783,588.84/995.15
  6. Step 6: Final answer
    x = 787.41

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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.