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Finding the Fourth Proportional to 557.19, 833.63 and 459.99

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Solution

The fourth proportional to 557.19, 833.63 and 459.99 is: 688.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.19 : 833.63 = 459.99 : x
  2. Step 2: Convert to fraction form
    557.19/833.63 = 459.99/x
  3. Step 3: Cross multiply
    557.19x = 833.63 × 459.99
  4. Step 4: Simplify right side
    557.19x = 383,459.16
  5. Step 5: Solve for x
    x = 383,459.16/557.19
  6. Step 6: Final answer
    x = 688.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.