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Finding the Fourth Proportional to 807.50, 1,114.36 and 458.22

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Solution

The fourth proportional to 807.50, 1,114.36 and 458.22 is: 632.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.50 : 1,114.36 = 458.22 : x
  2. Step 2: Convert to fraction form
    807.50/1,114.36 = 458.22/x
  3. Step 3: Cross multiply
    807.50x = 1,114.36 × 458.22
  4. Step 4: Simplify right side
    807.50x = 510,622.04
  5. Step 5: Solve for x
    x = 510,622.04/807.50
  6. Step 6: Final answer
    x = 632.35

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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.