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Finding the Fourth Proportional to 872.30, 1,307.64 and 433.28

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Solution

The fourth proportional to 872.30, 1,307.64 and 433.28 is: 649.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.30 : 1,307.64 = 433.28 : x
  2. Step 2: Convert to fraction form
    872.30/1,307.64 = 433.28/x
  3. Step 3: Cross multiply
    872.30x = 1,307.64 × 433.28
  4. Step 4: Simplify right side
    872.30x = 566,579.15
  5. Step 5: Solve for x
    x = 566,579.15/872.30
  6. Step 6: Final answer
    x = 649.52

Related Problems

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.