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Finding the Fourth Proportional to 728.16, 1,005.31 and 507.03

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Solution

The fourth proportional to 728.16, 1,005.31 and 507.03 is: 700.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.16 : 1,005.31 = 507.03 : x
  2. Step 2: Convert to fraction form
    728.16/1,005.31 = 507.03/x
  3. Step 3: Cross multiply
    728.16x = 1,005.31 × 507.03
  4. Step 4: Simplify right side
    728.16x = 509,722.33
  5. Step 5: Solve for x
    x = 509,722.33/728.16
  6. Step 6: Final answer
    x = 700.01

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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.