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Finding the Fourth Proportional to 688.89, 948.99 and 501.90

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Solution

The fourth proportional to 688.89, 948.99 and 501.90 is: 691.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.89 : 948.99 = 501.90 : x
  2. Step 2: Convert to fraction form
    688.89/948.99 = 501.90/x
  3. Step 3: Cross multiply
    688.89x = 948.99 × 501.90
  4. Step 4: Simplify right side
    688.89x = 476,298.08
  5. Step 5: Solve for x
    x = 476,298.08/688.89
  6. Step 6: Final answer
    x = 691.40

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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.