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Finding the Fourth Proportional to 875.10, 1,311.30 and 586.20

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Solution

The fourth proportional to 875.10, 1,311.30 and 586.20 is: 878.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.10 : 1,311.30 = 586.20 : x
  2. Step 2: Convert to fraction form
    875.10/1,311.30 = 586.20/x
  3. Step 3: Cross multiply
    875.10x = 1,311.30 × 586.20
  4. Step 4: Simplify right side
    875.10x = 768,684.06
  5. Step 5: Solve for x
    x = 768,684.06/875.10
  6. Step 6: Final answer
    x = 878.40

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1.5x scale

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.