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Finding the Fourth Proportional to 1,038.58, 1,557.64 and 307.99

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Solution

The fourth proportional to 1,038.58, 1,557.64 and 307.99 is: 461.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.58 : 1,557.64 = 307.99 : x
  2. Step 2: Convert to fraction form
    1,038.58/1,557.64 = 307.99/x
  3. Step 3: Cross multiply
    1,038.58x = 1,557.64 × 307.99
  4. Step 4: Simplify right side
    1,038.58x = 479,737.54
  5. Step 5: Solve for x
    x = 479,737.54/1,038.58
  6. Step 6: Final answer
    x = 461.92

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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.