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Finding the Fourth Proportional to 875.45, 1,205.48 and 780.91

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Solution

The fourth proportional to 875.45, 1,205.48 and 780.91 is: 1,075.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.45 : 1,205.48 = 780.91 : x
  2. Step 2: Convert to fraction form
    875.45/1,205.48 = 780.91/x
  3. Step 3: Cross multiply
    875.45x = 1,205.48 × 780.91
  4. Step 4: Simplify right side
    875.45x = 941,370.33
  5. Step 5: Solve for x
    x = 941,370.33/875.45
  6. Step 6: Final answer
    x = 1,075.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.