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Finding the Fourth Proportional to 875.71, 1,312.78 and 599.80

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Solution

The fourth proportional to 875.71, 1,312.78 and 599.80 is: 899.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.71 : 1,312.78 = 599.80 : x
  2. Step 2: Convert to fraction form
    875.71/1,312.78 = 599.80/x
  3. Step 3: Cross multiply
    875.71x = 1,312.78 × 599.80
  4. Step 4: Simplify right side
    875.71x = 787,407.23
  5. Step 5: Solve for x
    x = 787,407.23/875.71
  6. Step 6: Final answer
    x = 899.17

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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.