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Finding the Fourth Proportional to 1,362.40, 1,880.14 and 802.89

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Solution

The fourth proportional to 1,362.40, 1,880.14 and 802.89 is: 1,108.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.40 : 1,880.14 = 802.89 : x
  2. Step 2: Convert to fraction form
    1,362.40/1,880.14 = 802.89/x
  3. Step 3: Cross multiply
    1,362.40x = 1,880.14 × 802.89
  4. Step 4: Simplify right side
    1,362.40x = 1,509,545.60
  5. Step 5: Solve for x
    x = 1,509,545.60/1,362.40
  6. Step 6: Final answer
    x = 1,108.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.