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Finding the Fourth Proportional to 1,130.48, 1,698.33 and 802.23

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Solution

The fourth proportional to 1,130.48, 1,698.33 and 802.23 is: 1,205.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.48 : 1,698.33 = 802.23 : x
  2. Step 2: Convert to fraction form
    1,130.48/1,698.33 = 802.23/x
  3. Step 3: Cross multiply
    1,130.48x = 1,698.33 × 802.23
  4. Step 4: Simplify right side
    1,130.48x = 1,362,451.28
  5. Step 5: Solve for x
    x = 1,362,451.28/1,130.48
  6. Step 6: Final answer
    x = 1,205.20

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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.