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Finding the Fourth Proportional to 830.30, 1,235.64 and 802.62

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Solution

The fourth proportional to 830.30, 1,235.64 and 802.62 is: 1,194.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.30 : 1,235.64 = 802.62 : x
  2. Step 2: Convert to fraction form
    830.30/1,235.64 = 802.62/x
  3. Step 3: Cross multiply
    830.30x = 1,235.64 × 802.62
  4. Step 4: Simplify right side
    830.30x = 991,743.20
  5. Step 5: Solve for x
    x = 991,743.20/830.30
  6. Step 6: Final answer
    x = 1,194.45

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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.