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Finding the Fourth Proportional to 898.58, 1,346.05 and 651.63

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Solution

The fourth proportional to 898.58, 1,346.05 and 651.63 is: 976.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.58 : 1,346.05 = 651.63 : x
  2. Step 2: Convert to fraction form
    898.58/1,346.05 = 651.63/x
  3. Step 3: Cross multiply
    898.58x = 1,346.05 × 651.63
  4. Step 4: Simplify right side
    898.58x = 877,126.56
  5. Step 5: Solve for x
    x = 877,126.56/898.58
  6. Step 6: Final answer
    x = 976.13

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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.