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Finding the Fourth Proportional to 875.09, 1,312.21 and 380.99

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Solution

The fourth proportional to 875.09, 1,312.21 and 380.99 is: 571.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.09 : 1,312.21 = 380.99 : x
  2. Step 2: Convert to fraction form
    875.09/1,312.21 = 380.99/x
  3. Step 3: Cross multiply
    875.09x = 1,312.21 × 380.99
  4. Step 4: Simplify right side
    875.09x = 499,938.89
  5. Step 5: Solve for x
    x = 499,938.89/875.09
  6. Step 6: Final answer
    x = 571.30

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Half scale
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Double scale
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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.