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Finding the Fourth Proportional to 1,210.18, 1,671 and 929.98

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Solution

The fourth proportional to 1,210.18, 1,671 and 929.98 is: 1,284.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.18 : 1,671 = 929.98 : x
  2. Step 2: Convert to fraction form
    1,210.18/1,671 = 929.98/x
  3. Step 3: Cross multiply
    1,210.18x = 1,671 × 929.98
  4. Step 4: Simplify right side
    1,210.18x = 1,553,996.58
  5. Step 5: Solve for x
    x = 1,553,996.58/1,210.18
  6. Step 6: Final answer
    x = 1,284.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.