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Finding the Fourth Proportional to 687.46, 948.76 and 407.65

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Solution

The fourth proportional to 687.46, 948.76 and 407.65 is: 562.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.46 : 948.76 = 407.65 : x
  2. Step 2: Convert to fraction form
    687.46/948.76 = 407.65/x
  3. Step 3: Cross multiply
    687.46x = 948.76 × 407.65
  4. Step 4: Simplify right side
    687.46x = 386,762.01
  5. Step 5: Solve for x
    x = 386,762.01/687.46
  6. Step 6: Final answer
    x = 562.60

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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.