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Finding the Fourth Proportional to 875.02, 1,311.72 and 490

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Solution

The fourth proportional to 875.02, 1,311.72 and 490 is: 734.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.02 : 1,311.72 = 490 : x
  2. Step 2: Convert to fraction form
    875.02/1,311.72 = 490/x
  3. Step 3: Cross multiply
    875.02x = 1,311.72 × 490
  4. Step 4: Simplify right side
    875.02x = 642,742.80
  5. Step 5: Solve for x
    x = 642,742.80/875.02
  6. Step 6: Final answer
    x = 734.55

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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.