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Finding the Fourth Proportional to 710.02, 980.60 and 448.19

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Solution

The fourth proportional to 710.02, 980.60 and 448.19 is: 618.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.02 : 980.60 = 448.19 : x
  2. Step 2: Convert to fraction form
    710.02/980.60 = 448.19/x
  3. Step 3: Cross multiply
    710.02x = 980.60 × 448.19
  4. Step 4: Simplify right side
    710.02x = 439,495.11
  5. Step 5: Solve for x
    x = 439,495.11/710.02
  6. Step 6: Final answer
    x = 618.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.