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Finding the Fourth Proportional to 802.98, 1,203.57 and 525.87

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Solution

The fourth proportional to 802.98, 1,203.57 and 525.87 is: 788.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.98 : 1,203.57 = 525.87 : x
  2. Step 2: Convert to fraction form
    802.98/1,203.57 = 525.87/x
  3. Step 3: Cross multiply
    802.98x = 1,203.57 × 525.87
  4. Step 4: Simplify right side
    802.98x = 632,921.36
  5. Step 5: Solve for x
    x = 632,921.36/802.98
  6. Step 6: Final answer
    x = 788.22

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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.