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Finding the Fourth Proportional to 669.76, 922.80 and 564.88

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Solution

The fourth proportional to 669.76, 922.80 and 564.88 is: 778.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.76 : 922.80 = 564.88 : x
  2. Step 2: Convert to fraction form
    669.76/922.80 = 564.88/x
  3. Step 3: Cross multiply
    669.76x = 922.80 × 564.88
  4. Step 4: Simplify right side
    669.76x = 521,271.26
  5. Step 5: Solve for x
    x = 521,271.26/669.76
  6. Step 6: Final answer
    x = 778.30

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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.