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Finding the Fourth Proportional to 602.19, 904.68 and 522.99

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Solution

The fourth proportional to 602.19, 904.68 and 522.99 is: 785.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.19 : 904.68 = 522.99 : x
  2. Step 2: Convert to fraction form
    602.19/904.68 = 522.99/x
  3. Step 3: Cross multiply
    602.19x = 904.68 × 522.99
  4. Step 4: Simplify right side
    602.19x = 473,138.59
  5. Step 5: Solve for x
    x = 473,138.59/602.19
  6. Step 6: Final answer
    x = 785.70

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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.