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Finding the Fourth Proportional to 675.16, 1,006.12 and 656.40

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Solution

The fourth proportional to 675.16, 1,006.12 and 656.40 is: 978.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.16 : 1,006.12 = 656.40 : x
  2. Step 2: Convert to fraction form
    675.16/1,006.12 = 656.40/x
  3. Step 3: Cross multiply
    675.16x = 1,006.12 × 656.40
  4. Step 4: Simplify right side
    675.16x = 660,417.17
  5. Step 5: Solve for x
    x = 660,417.17/675.16
  6. Step 6: Final answer
    x = 978.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.