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Finding the Fourth Proportional to 1,095, 1,501.24 and 1,075.29

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Solution

The fourth proportional to 1,095, 1,501.24 and 1,075.29 is: 1,474.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095 : 1,501.24 = 1,075.29 : x
  2. Step 2: Convert to fraction form
    1,095/1,501.24 = 1,075.29/x
  3. Step 3: Cross multiply
    1,095x = 1,501.24 × 1,075.29
  4. Step 4: Simplify right side
    1,095x = 1,614,268.36
  5. Step 5: Solve for x
    x = 1,614,268.36/1,095
  6. Step 6: Final answer
    x = 1,474.22

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.