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Finding the Fourth Proportional to 875.23, 1,312.72 and 259.00

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Solution

The fourth proportional to 875.23, 1,312.72 and 259.00 is: 388.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.23 : 1,312.72 = 259.00 : x
  2. Step 2: Convert to fraction form
    875.23/1,312.72 = 259.00/x
  3. Step 3: Cross multiply
    875.23x = 1,312.72 × 259.00
  4. Step 4: Simplify right side
    875.23x = 339,987.92
  5. Step 5: Solve for x
    x = 339,987.92/875.23
  6. Step 6: Final answer
    x = 388.46

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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.