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Finding the Fourth Proportional to 895.35, 1,235.57 and 496.99

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Solution

The fourth proportional to 895.35, 1,235.57 and 496.99 is: 685.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.35 : 1,235.57 = 496.99 : x
  2. Step 2: Convert to fraction form
    895.35/1,235.57 = 496.99/x
  3. Step 3: Cross multiply
    895.35x = 1,235.57 × 496.99
  4. Step 4: Simplify right side
    895.35x = 614,064.07
  5. Step 5: Solve for x
    x = 614,064.07/895.35
  6. Step 6: Final answer
    x = 685.84

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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.