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Finding the Fourth Proportional to 807.08, 1,203.64 and 710.04

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Solution

The fourth proportional to 807.08, 1,203.64 and 710.04 is: 1,058.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.08 : 1,203.64 = 710.04 : x
  2. Step 2: Convert to fraction form
    807.08/1,203.64 = 710.04/x
  3. Step 3: Cross multiply
    807.08x = 1,203.64 × 710.04
  4. Step 4: Simplify right side
    807.08x = 854,632.55
  5. Step 5: Solve for x
    x = 854,632.55/807.08
  6. Step 6: Final answer
    x = 1,058.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.