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Finding the Fourth Proportional to 1,037.98, 1,557.06 and 307.59

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Solution

The fourth proportional to 1,037.98, 1,557.06 and 307.59 is: 461.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.98 : 1,557.06 = 307.59 : x
  2. Step 2: Convert to fraction form
    1,037.98/1,557.06 = 307.59/x
  3. Step 3: Cross multiply
    1,037.98x = 1,557.06 × 307.59
  4. Step 4: Simplify right side
    1,037.98x = 478,936.09
  5. Step 5: Solve for x
    x = 478,936.09/1,037.98
  6. Step 6: Final answer
    x = 461.41

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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.