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Finding the Fourth Proportional to 1,064.90, 1,471.57 and 802.46

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Solution

The fourth proportional to 1,064.90, 1,471.57 and 802.46 is: 1,108.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.90 : 1,471.57 = 802.46 : x
  2. Step 2: Convert to fraction form
    1,064.90/1,471.57 = 802.46/x
  3. Step 3: Cross multiply
    1,064.90x = 1,471.57 × 802.46
  4. Step 4: Simplify right side
    1,064.90x = 1,180,876.06
  5. Step 5: Solve for x
    x = 1,180,876.06/1,064.90
  6. Step 6: Final answer
    x = 1,108.91

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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.