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Finding the Fourth Proportional to 710.36, 1,065.29 and 435.62

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Solution

The fourth proportional to 710.36, 1,065.29 and 435.62 is: 653.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.36 : 1,065.29 = 435.62 : x
  2. Step 2: Convert to fraction form
    710.36/1,065.29 = 435.62/x
  3. Step 3: Cross multiply
    710.36x = 1,065.29 × 435.62
  4. Step 4: Simplify right side
    710.36x = 464,062.11
  5. Step 5: Solve for x
    x = 464,062.11/710.36
  6. Step 6: Final answer
    x = 653.28

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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.