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Finding the Fourth Proportional to 1,018.60, 1,406.24 and 669.89

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Solution

The fourth proportional to 1,018.60, 1,406.24 and 669.89 is: 924.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.60 : 1,406.24 = 669.89 : x
  2. Step 2: Convert to fraction form
    1,018.60/1,406.24 = 669.89/x
  3. Step 3: Cross multiply
    1,018.60x = 1,406.24 × 669.89
  4. Step 4: Simplify right side
    1,018.60x = 942,026.11
  5. Step 5: Solve for x
    x = 942,026.11/1,018.60
  6. Step 6: Final answer
    x = 924.82

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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.