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Finding the Fourth Proportional to 710.32, 980.10 and 448.19

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Solution

The fourth proportional to 710.32, 980.10 and 448.19 is: 618.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.32 : 980.10 = 448.19 : x
  2. Step 2: Convert to fraction form
    710.32/980.10 = 448.19/x
  3. Step 3: Cross multiply
    710.32x = 980.10 × 448.19
  4. Step 4: Simplify right side
    710.32x = 439,271.02
  5. Step 5: Solve for x
    x = 439,271.02/710.32
  6. Step 6: Final answer
    x = 618.41

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1.5x scale

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.