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Finding the Fourth Proportional to 895.09, 1,234.65 and 646.77

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Solution

The fourth proportional to 895.09, 1,234.65 and 646.77 is: 892.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.09 : 1,234.65 = 646.77 : x
  2. Step 2: Convert to fraction form
    895.09/1,234.65 = 646.77/x
  3. Step 3: Cross multiply
    895.09x = 1,234.65 × 646.77
  4. Step 4: Simplify right side
    895.09x = 798,534.58
  5. Step 5: Solve for x
    x = 798,534.58/895.09
  6. Step 6: Final answer
    x = 892.13

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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.