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Finding the Fourth Proportional to 801.99, 1,106.87 and 507.35

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Solution

The fourth proportional to 801.99, 1,106.87 and 507.35 is: 700.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.99 : 1,106.87 = 507.35 : x
  2. Step 2: Convert to fraction form
    801.99/1,106.87 = 507.35/x
  3. Step 3: Cross multiply
    801.99x = 1,106.87 × 507.35
  4. Step 4: Simplify right side
    801.99x = 561,570.72
  5. Step 5: Solve for x
    x = 561,570.72/801.99
  6. Step 6: Final answer
    x = 700.22

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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.