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Finding the Fourth Proportional to 899.52, 1,350.36 and 534.72

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Solution

The fourth proportional to 899.52, 1,350.36 and 534.72 is: 802.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.52 : 1,350.36 = 534.72 : x
  2. Step 2: Convert to fraction form
    899.52/1,350.36 = 534.72/x
  3. Step 3: Cross multiply
    899.52x = 1,350.36 × 534.72
  4. Step 4: Simplify right side
    899.52x = 722,064.50
  5. Step 5: Solve for x
    x = 722,064.50/899.52
  6. Step 6: Final answer
    x = 802.72

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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.