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Finding the Fourth Proportional to 807.04, 1,113.88 and 512.25

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Solution

The fourth proportional to 807.04, 1,113.88 and 512.25 is: 707.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.04 : 1,113.88 = 512.25 : x
  2. Step 2: Convert to fraction form
    807.04/1,113.88 = 512.25/x
  3. Step 3: Cross multiply
    807.04x = 1,113.88 × 512.25
  4. Step 4: Simplify right side
    807.04x = 570,579.46
  5. Step 5: Solve for x
    x = 570,579.46/807.04
  6. Step 6: Final answer
    x = 707.01

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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.