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Finding the Fourth Proportional to 1,075.45, 1,484.02 and 609.70

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Solution

The fourth proportional to 1,075.45, 1,484.02 and 609.70 is: 841.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.45 : 1,484.02 = 609.70 : x
  2. Step 2: Convert to fraction form
    1,075.45/1,484.02 = 609.70/x
  3. Step 3: Cross multiply
    1,075.45x = 1,484.02 × 609.70
  4. Step 4: Simplify right side
    1,075.45x = 904,806.99
  5. Step 5: Solve for x
    x = 904,806.99/1,075.45
  6. Step 6: Final answer
    x = 841.33

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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.