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Finding the Fourth Proportional to 814.77, 1,124.69 and 594.86

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Solution

The fourth proportional to 814.77, 1,124.69 and 594.86 is: 821.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.77 : 1,124.69 = 594.86 : x
  2. Step 2: Convert to fraction form
    814.77/1,124.69 = 594.86/x
  3. Step 3: Cross multiply
    814.77x = 1,124.69 × 594.86
  4. Step 4: Simplify right side
    814.77x = 669,024.50
  5. Step 5: Solve for x
    x = 669,024.50/814.77
  6. Step 6: Final answer
    x = 821.12

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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.