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Finding the Fourth Proportional to 670.88, 924.54 and 474.32

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Solution

The fourth proportional to 670.88, 924.54 and 474.32 is: 653.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.88 : 924.54 = 474.32 : x
  2. Step 2: Convert to fraction form
    670.88/924.54 = 474.32/x
  3. Step 3: Cross multiply
    670.88x = 924.54 × 474.32
  4. Step 4: Simplify right side
    670.88x = 438,527.81
  5. Step 5: Solve for x
    x = 438,527.81/670.88
  6. Step 6: Final answer
    x = 653.66

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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.