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Finding the Fourth Proportional to 710.33, 1,064.46 and 314.53

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Solution

The fourth proportional to 710.33, 1,064.46 and 314.53 is: 471.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.33 : 1,064.46 = 314.53 : x
  2. Step 2: Convert to fraction form
    710.33/1,064.46 = 314.53/x
  3. Step 3: Cross multiply
    710.33x = 1,064.46 × 314.53
  4. Step 4: Simplify right side
    710.33x = 334,804.60
  5. Step 5: Solve for x
    x = 334,804.60/710.33
  6. Step 6: Final answer
    x = 471.34

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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.