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Finding the Fourth Proportional to 666.51, 1,000.28 and 435.34

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Solution

The fourth proportional to 666.51, 1,000.28 and 435.34 is: 653.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.51 : 1,000.28 = 435.34 : x
  2. Step 2: Convert to fraction form
    666.51/1,000.28 = 435.34/x
  3. Step 3: Cross multiply
    666.51x = 1,000.28 × 435.34
  4. Step 4: Simplify right side
    666.51x = 435,461.90
  5. Step 5: Solve for x
    x = 435,461.90/666.51
  6. Step 6: Final answer
    x = 653.35

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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.