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Finding the Fourth Proportional to 1,283.79, 1,925.79 and 462.18

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Solution

The fourth proportional to 1,283.79, 1,925.79 and 462.18 is: 693.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.79 : 1,925.79 = 462.18 : x
  2. Step 2: Convert to fraction form
    1,283.79/1,925.79 = 462.18/x
  3. Step 3: Cross multiply
    1,283.79x = 1,925.79 × 462.18
  4. Step 4: Simplify right side
    1,283.79x = 890,061.62
  5. Step 5: Solve for x
    x = 890,061.62/1,283.79
  6. Step 6: Final answer
    x = 693.31

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.