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Finding the Fourth Proportional to 1,075.35, 1,605.19 and 945.75

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Solution

The fourth proportional to 1,075.35, 1,605.19 and 945.75 is: 1,411.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.35 : 1,605.19 = 945.75 : x
  2. Step 2: Convert to fraction form
    1,075.35/1,605.19 = 945.75/x
  3. Step 3: Cross multiply
    1,075.35x = 1,605.19 × 945.75
  4. Step 4: Simplify right side
    1,075.35x = 1,518,106.08
  5. Step 5: Solve for x
    x = 1,518,106.08/1,075.35
  6. Step 6: Final answer
    x = 1,411.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.