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Finding the Fourth Proportional to 897.46, 1,346.70 and 435.25

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Solution

The fourth proportional to 897.46, 1,346.70 and 435.25 is: 653.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.46 : 1,346.70 = 435.25 : x
  2. Step 2: Convert to fraction form
    897.46/1,346.70 = 435.25/x
  3. Step 3: Cross multiply
    897.46x = 1,346.70 × 435.25
  4. Step 4: Simplify right side
    897.46x = 586,151.18
  5. Step 5: Solve for x
    x = 586,151.18/897.46
  6. Step 6: Final answer
    x = 653.12

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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.