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Finding the Fourth Proportional to 1,230.76, 1,698.68 and 707.16

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Solution

The fourth proportional to 1,230.76, 1,698.68 and 707.16 is: 976.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.76 : 1,698.68 = 707.16 : x
  2. Step 2: Convert to fraction form
    1,230.76/1,698.68 = 707.16/x
  3. Step 3: Cross multiply
    1,230.76x = 1,698.68 × 707.16
  4. Step 4: Simplify right side
    1,230.76x = 1,201,238.55
  5. Step 5: Solve for x
    x = 1,201,238.55/1,230.76
  6. Step 6: Final answer
    x = 976.01

Related Problems

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Half 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.