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Finding the Fourth Proportional to 710.54, 1,065.80 and 421.10

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Solution

The fourth proportional to 710.54, 1,065.80 and 421.10 is: 631.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.54 : 1,065.80 = 421.10 : x
  2. Step 2: Convert to fraction form
    710.54/1,065.80 = 421.10/x
  3. Step 3: Cross multiply
    710.54x = 1,065.80 × 421.10
  4. Step 4: Simplify right side
    710.54x = 448,804.10
  5. Step 5: Solve for x
    x = 448,804.10/710.54
  6. Step 6: Final answer
    x = 631.64

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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.