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Finding the Fourth Proportional to 802.41, 1,201.59 and 509.02

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Solution

The fourth proportional to 802.41, 1,201.59 and 509.02 is: 762.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.41 : 1,201.59 = 509.02 : x
  2. Step 2: Convert to fraction form
    802.41/1,201.59 = 509.02/x
  3. Step 3: Cross multiply
    802.41x = 1,201.59 × 509.02
  4. Step 4: Simplify right side
    802.41x = 611,633.34
  5. Step 5: Solve for x
    x = 611,633.34/802.41
  6. Step 6: Final answer
    x = 762.25

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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.