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Finding the Fourth Proportional to 1,057.30, 1,586.02 and 364

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Solution

The fourth proportional to 1,057.30, 1,586.02 and 364 is: 546.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.30 : 1,586.02 = 364 : x
  2. Step 2: Convert to fraction form
    1,057.30/1,586.02 = 364/x
  3. Step 3: Cross multiply
    1,057.30x = 1,586.02 × 364
  4. Step 4: Simplify right side
    1,057.30x = 577,311.28
  5. Step 5: Solve for x
    x = 577,311.28/1,057.30
  6. Step 6: Final answer
    x = 546.02

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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.