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Finding the Fourth Proportional to 1,037.02, 1,556.30 and 647.59

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Solution

The fourth proportional to 1,037.02, 1,556.30 and 647.59 is: 971.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.02 : 1,556.30 = 647.59 : x
  2. Step 2: Convert to fraction form
    1,037.02/1,556.30 = 647.59/x
  3. Step 3: Cross multiply
    1,037.02x = 1,556.30 × 647.59
  4. Step 4: Simplify right side
    1,037.02x = 1,007,844.32
  5. Step 5: Solve for x
    x = 1,007,844.32/1,037.02
  6. Step 6: Final answer
    x = 971.87

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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.