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Finding the Fourth Proportional to 1,053.42, 1,579.59 and 437.01

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Solution

The fourth proportional to 1,053.42, 1,579.59 and 437.01 is: 655.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.42 : 1,579.59 = 437.01 : x
  2. Step 2: Convert to fraction form
    1,053.42/1,579.59 = 437.01/x
  3. Step 3: Cross multiply
    1,053.42x = 1,579.59 × 437.01
  4. Step 4: Simplify right side
    1,053.42x = 690,296.63
  5. Step 5: Solve for x
    x = 690,296.63/1,053.42
  6. Step 6: Final answer
    x = 655.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.