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Finding the Fourth Proportional to 1,298.02, 1,946.76 and 476.50

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Solution

The fourth proportional to 1,298.02, 1,946.76 and 476.50 is: 714.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.02 : 1,946.76 = 476.50 : x
  2. Step 2: Convert to fraction form
    1,298.02/1,946.76 = 476.50/x
  3. Step 3: Cross multiply
    1,298.02x = 1,946.76 × 476.50
  4. Step 4: Simplify right side
    1,298.02x = 927,631.14
  5. Step 5: Solve for x
    x = 927,631.14/1,298.02
  6. Step 6: Final answer
    x = 714.65

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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.