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Finding the Fourth Proportional to 807.64, 1,114.74 and 572.68

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Solution

The fourth proportional to 807.64, 1,114.74 and 572.68 is: 790.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.64 : 1,114.74 = 572.68 : x
  2. Step 2: Convert to fraction form
    807.64/1,114.74 = 572.68/x
  3. Step 3: Cross multiply
    807.64x = 1,114.74 × 572.68
  4. Step 4: Simplify right side
    807.64x = 638,389.30
  5. Step 5: Solve for x
    x = 638,389.30/807.64
  6. Step 6: Final answer
    x = 790.44

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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.