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Finding the Fourth Proportional to 1,027.34, 1,416.06 and 802.88

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Solution

The fourth proportional to 1,027.34, 1,416.06 and 802.88 is: 1,106.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.34 : 1,416.06 = 802.88 : x
  2. Step 2: Convert to fraction form
    1,027.34/1,416.06 = 802.88/x
  3. Step 3: Cross multiply
    1,027.34x = 1,416.06 × 802.88
  4. Step 4: Simplify right side
    1,027.34x = 1,136,915.16
  5. Step 5: Solve for x
    x = 1,136,915.16/1,027.34
  6. Step 6: Final answer
    x = 1,106.66

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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.