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Finding the Fourth Proportional to 654.96, 977.64 and 568.89

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Solution

The fourth proportional to 654.96, 977.64 and 568.89 is: 849.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.96 : 977.64 = 568.89 : x
  2. Step 2: Convert to fraction form
    654.96/977.64 = 568.89/x
  3. Step 3: Cross multiply
    654.96x = 977.64 × 568.89
  4. Step 4: Simplify right side
    654.96x = 556,169.62
  5. Step 5: Solve for x
    x = 556,169.62/654.96
  6. Step 6: Final answer
    x = 849.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.