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Finding the Fourth Proportional to 895.20, 1,233.68 and 646.07

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Solution

The fourth proportional to 895.20, 1,233.68 and 646.07 is: 890.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.20 : 1,233.68 = 646.07 : x
  2. Step 2: Convert to fraction form
    895.20/1,233.68 = 646.07/x
  3. Step 3: Cross multiply
    895.20x = 1,233.68 × 646.07
  4. Step 4: Simplify right side
    895.20x = 797,034.24
  5. Step 5: Solve for x
    x = 797,034.24/895.20
  6. Step 6: Final answer
    x = 890.35

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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.