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Finding the Fourth Proportional to 1,061, 1,465.26 and 1,053.80

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Solution

The fourth proportional to 1,061, 1,465.26 and 1,053.80 is: 1,455.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061 : 1,465.26 = 1,053.80 : x
  2. Step 2: Convert to fraction form
    1,061/1,465.26 = 1,053.80/x
  3. Step 3: Cross multiply
    1,061x = 1,465.26 × 1,053.80
  4. Step 4: Simplify right side
    1,061x = 1,544,090.99
  5. Step 5: Solve for x
    x = 1,544,090.99/1,061
  6. Step 6: Final answer
    x = 1,455.32

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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.