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Finding the Fourth Proportional to 895.35, 1,235.54 and 502.50

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Solution

The fourth proportional to 895.35, 1,235.54 and 502.50 is: 693.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.35 : 1,235.54 = 502.50 : x
  2. Step 2: Convert to fraction form
    895.35/1,235.54 = 502.50/x
  3. Step 3: Cross multiply
    895.35x = 1,235.54 × 502.50
  4. Step 4: Simplify right side
    895.35x = 620,856.34
  5. Step 5: Solve for x
    x = 620,856.34/895.35
  6. Step 6: Final answer
    x = 693.42

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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.