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Finding the Fourth Proportional to 1,503.90, 2,075.52 and 874.50

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Solution

The fourth proportional to 1,503.90, 2,075.52 and 874.50 is: 1,206.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.90 : 2,075.52 = 874.50 : x
  2. Step 2: Convert to fraction form
    1,503.90/2,075.52 = 874.50/x
  3. Step 3: Cross multiply
    1,503.90x = 2,075.52 × 874.50
  4. Step 4: Simplify right side
    1,503.90x = 1,815,042.24
  5. Step 5: Solve for x
    x = 1,815,042.24/1,503.90
  6. Step 6: Final answer
    x = 1,206.89

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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.