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Finding the Fourth Proportional to 693.77, 957.19 and 417.77

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Solution

The fourth proportional to 693.77, 957.19 and 417.77 is: 576.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.77 : 957.19 = 417.77 : x
  2. Step 2: Convert to fraction form
    693.77/957.19 = 417.77/x
  3. Step 3: Cross multiply
    693.77x = 957.19 × 417.77
  4. Step 4: Simplify right side
    693.77x = 399,888.70
  5. Step 5: Solve for x
    x = 399,888.70/693.77
  6. Step 6: Final answer
    x = 576.40

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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.