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Finding the Fourth Proportional to 802.10, 1,106.64 and 654.48

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Solution

The fourth proportional to 802.10, 1,106.64 and 654.48 is: 902.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.10 : 1,106.64 = 654.48 : x
  2. Step 2: Convert to fraction form
    802.10/1,106.64 = 654.48/x
  3. Step 3: Cross multiply
    802.10x = 1,106.64 × 654.48
  4. Step 4: Simplify right side
    802.10x = 724,273.75
  5. Step 5: Solve for x
    x = 724,273.75/802.10
  6. Step 6: Final answer
    x = 902.97

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1.5x scale

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.