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Finding the Fourth Proportional to 672, 1,004.12 and 533.60

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Solution

The fourth proportional to 672, 1,004.12 and 533.60 is: 797.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    672 : 1,004.12 = 533.60 : x
  2. Step 2: Convert to fraction form
    672/1,004.12 = 533.60/x
  3. Step 3: Cross multiply
    672x = 1,004.12 × 533.60
  4. Step 4: Simplify right side
    672x = 535,798.43
  5. Step 5: Solve for x
    x = 535,798.43/672
  6. Step 6: Final answer
    x = 797.32

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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.