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Finding the Fourth Proportional to 895.70, 1,235.96 and 502.65

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Solution

The fourth proportional to 895.70, 1,235.96 and 502.65 is: 693.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.70 : 1,235.96 = 502.65 : x
  2. Step 2: Convert to fraction form
    895.70/1,235.96 = 502.65/x
  3. Step 3: Cross multiply
    895.70x = 1,235.96 × 502.65
  4. Step 4: Simplify right side
    895.70x = 621,252.78
  5. Step 5: Solve for x
    x = 621,252.78/895.70
  6. Step 6: Final answer
    x = 693.60

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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.