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Finding the Fourth Proportional to 652.15, 975.90 and 522.98

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Solution

The fourth proportional to 652.15, 975.90 and 522.98 is: 782.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.15 : 975.90 = 522.98 : x
  2. Step 2: Convert to fraction form
    652.15/975.90 = 522.98/x
  3. Step 3: Cross multiply
    652.15x = 975.90 × 522.98
  4. Step 4: Simplify right side
    652.15x = 510,376.18
  5. Step 5: Solve for x
    x = 510,376.18/652.15
  6. Step 6: Final answer
    x = 782.61

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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.