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Finding the Fourth Proportional to 898, 1,346.64 and 435.40

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Solution

The fourth proportional to 898, 1,346.64 and 435.40 is: 652.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    898 : 1,346.64 = 435.40 : x
  2. Step 2: Convert to fraction form
    898/1,346.64 = 435.40/x
  3. Step 3: Cross multiply
    898x = 1,346.64 × 435.40
  4. Step 4: Simplify right side
    898x = 586,327.06
  5. Step 5: Solve for x
    x = 586,327.06/898
  6. Step 6: Final answer
    x = 652.93

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