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Finding the Fourth Proportional to 522.84, 719.48 and 519.64

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Solution

The fourth proportional to 522.84, 719.48 and 519.64 is: 715.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.84 : 719.48 = 519.64 : x
  2. Step 2: Convert to fraction form
    522.84/719.48 = 519.64/x
  3. Step 3: Cross multiply
    522.84x = 719.48 × 519.64
  4. Step 4: Simplify right side
    522.84x = 373,870.59
  5. Step 5: Solve for x
    x = 373,870.59/522.84
  6. Step 6: Final answer
    x = 715.08

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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.