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Finding the Fourth Proportional to 804.72, 1,106.02 and 710.90

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Solution

The fourth proportional to 804.72, 1,106.02 and 710.90 is: 977.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.72 : 1,106.02 = 710.90 : x
  2. Step 2: Convert to fraction form
    804.72/1,106.02 = 710.90/x
  3. Step 3: Cross multiply
    804.72x = 1,106.02 × 710.90
  4. Step 4: Simplify right side
    804.72x = 786,269.62
  5. Step 5: Solve for x
    x = 786,269.62/804.72
  6. Step 6: Final answer
    x = 977.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.