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Finding the Fourth Proportional to 802.96, 1,108.02 and 471.40

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Solution

The fourth proportional to 802.96, 1,108.02 and 471.40 is: 650.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.96 : 1,108.02 = 471.40 : x
  2. Step 2: Convert to fraction form
    802.96/1,108.02 = 471.40/x
  3. Step 3: Cross multiply
    802.96x = 1,108.02 × 471.40
  4. Step 4: Simplify right side
    802.96x = 522,320.63
  5. Step 5: Solve for x
    x = 522,320.63/802.96
  6. Step 6: Final answer
    x = 650.49

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Double scale
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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.