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Finding the Fourth Proportional to 704.77, 972.66 and 390.11

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Solution

The fourth proportional to 704.77, 972.66 and 390.11 is: 538.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.77 : 972.66 = 390.11 : x
  2. Step 2: Convert to fraction form
    704.77/972.66 = 390.11/x
  3. Step 3: Cross multiply
    704.77x = 972.66 × 390.11
  4. Step 4: Simplify right side
    704.77x = 379,444.39
  5. Step 5: Solve for x
    x = 379,444.39/704.77
  6. Step 6: Final answer
    x = 538.39

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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.