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Finding the Fourth Proportional to 697.86, 964.30 and 501.03

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Solution

The fourth proportional to 697.86, 964.30 and 501.03 is: 692.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.86 : 964.30 = 501.03 : x
  2. Step 2: Convert to fraction form
    697.86/964.30 = 501.03/x
  3. Step 3: Cross multiply
    697.86x = 964.30 × 501.03
  4. Step 4: Simplify right side
    697.86x = 483,143.23
  5. Step 5: Solve for x
    x = 483,143.23/697.86
  6. Step 6: Final answer
    x = 692.32

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Double scale
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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.