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Finding the Fourth Proportional to 536.80, 803.52 and 501.28

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Solution

The fourth proportional to 536.80, 803.52 and 501.28 is: 750.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.80 : 803.52 = 501.28 : x
  2. Step 2: Convert to fraction form
    536.80/803.52 = 501.28/x
  3. Step 3: Cross multiply
    536.80x = 803.52 × 501.28
  4. Step 4: Simplify right side
    536.80x = 402,788.51
  5. Step 5: Solve for x
    x = 402,788.51/536.80
  6. Step 6: Final answer
    x = 750.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.