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Finding the Fourth Proportional to 824.99, 1,231.10 and 693.77

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Solution

The fourth proportional to 824.99, 1,231.10 and 693.77 is: 1,035.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.99 : 1,231.10 = 693.77 : x
  2. Step 2: Convert to fraction form
    824.99/1,231.10 = 693.77/x
  3. Step 3: Cross multiply
    824.99x = 1,231.10 × 693.77
  4. Step 4: Simplify right side
    824.99x = 854,093.22
  5. Step 5: Solve for x
    x = 854,093.22/824.99
  6. Step 6: Final answer
    x = 1,035.28

Related Problems

Find fourth proportional to 412.49, 615.55 and 346.88
Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.