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Finding the Fourth Proportional to 694.83, 1,038.41 and 557.23

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Solution

The fourth proportional to 694.83, 1,038.41 and 557.23 is: 832.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.83 : 1,038.41 = 557.23 : x
  2. Step 2: Convert to fraction form
    694.83/1,038.41 = 557.23/x
  3. Step 3: Cross multiply
    694.83x = 1,038.41 × 557.23
  4. Step 4: Simplify right side
    694.83x = 578,631.08
  5. Step 5: Solve for x
    x = 578,631.08/694.83
  6. Step 6: Final answer
    x = 832.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.