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Finding the Fourth Proportional to 898.19, 1,346.65 and 313.06

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Solution

The fourth proportional to 898.19, 1,346.65 and 313.06 is: 469.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.19 : 1,346.65 = 313.06 : x
  2. Step 2: Convert to fraction form
    898.19/1,346.65 = 313.06/x
  3. Step 3: Cross multiply
    898.19x = 1,346.65 × 313.06
  4. Step 4: Simplify right side
    898.19x = 421,582.25
  5. Step 5: Solve for x
    x = 421,582.25/898.19
  6. Step 6: Final answer
    x = 469.37

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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.