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Finding the Fourth Proportional to 1,018.32, 1,404.99 and 686.16

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Solution

The fourth proportional to 1,018.32, 1,404.99 and 686.16 is: 946.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.32 : 1,404.99 = 686.16 : x
  2. Step 2: Convert to fraction form
    1,018.32/1,404.99 = 686.16/x
  3. Step 3: Cross multiply
    1,018.32x = 1,404.99 × 686.16
  4. Step 4: Simplify right side
    1,018.32x = 964,047.94
  5. Step 5: Solve for x
    x = 964,047.94/1,018.32
  6. Step 6: Final answer
    x = 946.70

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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.