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Finding the Fourth Proportional to 690.27, 948.61 and 658.15

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Solution

The fourth proportional to 690.27, 948.61 and 658.15 is: 904.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.27 : 948.61 = 658.15 : x
  2. Step 2: Convert to fraction form
    690.27/948.61 = 658.15/x
  3. Step 3: Cross multiply
    690.27x = 948.61 × 658.15
  4. Step 4: Simplify right side
    690.27x = 624,328.79
  5. Step 5: Solve for x
    x = 624,328.79/690.27
  6. Step 6: Final answer
    x = 904.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.