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Finding the Fourth Proportional to 1,037.69, 1,556.07 and 307.01

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Solution

The fourth proportional to 1,037.69, 1,556.07 and 307.01 is: 460.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.69 : 1,556.07 = 307.01 : x
  2. Step 2: Convert to fraction form
    1,037.69/1,556.07 = 307.01/x
  3. Step 3: Cross multiply
    1,037.69x = 1,556.07 × 307.01
  4. Step 4: Simplify right side
    1,037.69x = 477,729.05
  5. Step 5: Solve for x
    x = 477,729.05/1,037.69
  6. Step 6: Final answer
    x = 460.38

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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.