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Finding the Fourth Proportional to 1,075.50, 1,484.37 and 813.06

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Solution

The fourth proportional to 1,075.50, 1,484.37 and 813.06 is: 1,122.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.50 : 1,484.37 = 813.06 : x
  2. Step 2: Convert to fraction form
    1,075.50/1,484.37 = 813.06/x
  3. Step 3: Cross multiply
    1,075.50x = 1,484.37 × 813.06
  4. Step 4: Simplify right side
    1,075.50x = 1,206,881.87
  5. Step 5: Solve for x
    x = 1,206,881.87/1,075.50
  6. Step 6: Final answer
    x = 1,122.16

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