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Finding the Fourth Proportional to 898.17, 1,239.46 and 505.23

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Solution

The fourth proportional to 898.17, 1,239.46 and 505.23 is: 697.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.17 : 1,239.46 = 505.23 : x
  2. Step 2: Convert to fraction form
    898.17/1,239.46 = 505.23/x
  3. Step 3: Cross multiply
    898.17x = 1,239.46 × 505.23
  4. Step 4: Simplify right side
    898.17x = 626,212.38
  5. Step 5: Solve for x
    x = 626,212.38/898.17
  6. Step 6: Final answer
    x = 697.21

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Double scale
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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.