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Finding the Fourth Proportional to 708.38, 977.30 and 522.32

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Solution

The fourth proportional to 708.38, 977.30 and 522.32 is: 720.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.38 : 977.30 = 522.32 : x
  2. Step 2: Convert to fraction form
    708.38/977.30 = 522.32/x
  3. Step 3: Cross multiply
    708.38x = 977.30 × 522.32
  4. Step 4: Simplify right side
    708.38x = 510,455.84
  5. Step 5: Solve for x
    x = 510,455.84/708.38
  6. Step 6: Final answer
    x = 720.60

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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.