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Finding the Fourth Proportional to 895.10, 1,235.19 and 496.75

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Solution

The fourth proportional to 895.10, 1,235.19 and 496.75 is: 685.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.10 : 1,235.19 = 496.75 : x
  2. Step 2: Convert to fraction form
    895.10/1,235.19 = 496.75/x
  3. Step 3: Cross multiply
    895.10x = 1,235.19 × 496.75
  4. Step 4: Simplify right side
    895.10x = 613,580.63
  5. Step 5: Solve for x
    x = 613,580.63/895.10
  6. Step 6: Final answer
    x = 685.49

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Half scale
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Double scale
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1.5x scale

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.