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Finding the Fourth Proportional to 875.30, 1,312.70 and 258.99

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Solution

The fourth proportional to 875.30, 1,312.70 and 258.99 is: 388.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.30 : 1,312.70 = 258.99 : x
  2. Step 2: Convert to fraction form
    875.30/1,312.70 = 258.99/x
  3. Step 3: Cross multiply
    875.30x = 1,312.70 × 258.99
  4. Step 4: Simplify right side
    875.30x = 339,974.88
  5. Step 5: Solve for x
    x = 339,974.88/875.30
  6. Step 6: Final answer
    x = 388.41

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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.