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Finding the Fourth Proportional to 710.63, 1,065.93 and 420.15

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Solution

The fourth proportional to 710.63, 1,065.93 and 420.15 is: 630.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.63 : 1,065.93 = 420.15 : x
  2. Step 2: Convert to fraction form
    710.63/1,065.93 = 420.15/x
  3. Step 3: Cross multiply
    710.63x = 1,065.93 × 420.15
  4. Step 4: Simplify right side
    710.63x = 447,847.46
  5. Step 5: Solve for x
    x = 447,847.46/710.63
  6. Step 6: Final answer
    x = 630.21

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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.