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Finding the Fourth Proportional to 670.24, 922.88 and 586.88

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Solution

The fourth proportional to 670.24, 922.88 and 586.88 is: 808.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.24 : 922.88 = 586.88 : x
  2. Step 2: Convert to fraction form
    670.24/922.88 = 586.88/x
  3. Step 3: Cross multiply
    670.24x = 922.88 × 586.88
  4. Step 4: Simplify right side
    670.24x = 541,619.81
  5. Step 5: Solve for x
    x = 541,619.81/670.24
  6. Step 6: Final answer
    x = 808.10

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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.