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Finding the Fourth Proportional to 714.10, 985.20 and 448.75

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Solution

The fourth proportional to 714.10, 985.20 and 448.75 is: 619.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.10 : 985.20 = 448.75 : x
  2. Step 2: Convert to fraction form
    714.10/985.20 = 448.75/x
  3. Step 3: Cross multiply
    714.10x = 985.20 × 448.75
  4. Step 4: Simplify right side
    714.10x = 442,108.50
  5. Step 5: Solve for x
    x = 442,108.50/714.10
  6. Step 6: Final answer
    x = 619.11

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Half scale
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Double scale
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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.