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Finding the Fourth Proportional to 690.21, 951.99 and 468.77

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Solution

The fourth proportional to 690.21, 951.99 and 468.77 is: 646.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.21 : 951.99 = 468.77 : x
  2. Step 2: Convert to fraction form
    690.21/951.99 = 468.77/x
  3. Step 3: Cross multiply
    690.21x = 951.99 × 468.77
  4. Step 4: Simplify right side
    690.21x = 446,259.59
  5. Step 5: Solve for x
    x = 446,259.59/690.21
  6. Step 6: Final answer
    x = 646.56

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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.