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Finding the Fourth Proportional to 896.79, 1,237.62 and 503.94

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Solution

The fourth proportional to 896.79, 1,237.62 and 503.94 is: 695.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.79 : 1,237.62 = 503.94 : x
  2. Step 2: Convert to fraction form
    896.79/1,237.62 = 503.94/x
  3. Step 3: Cross multiply
    896.79x = 1,237.62 × 503.94
  4. Step 4: Simplify right side
    896.79x = 623,686.22
  5. Step 5: Solve for x
    x = 623,686.22/896.79
  6. Step 6: Final answer
    x = 695.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.