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Finding the Fourth Proportional to 707.55, 976.20 and 412.76

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Solution

The fourth proportional to 707.55, 976.20 and 412.76 is: 569.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.55 : 976.20 = 412.76 : x
  2. Step 2: Convert to fraction form
    707.55/976.20 = 412.76/x
  3. Step 3: Cross multiply
    707.55x = 976.20 × 412.76
  4. Step 4: Simplify right side
    707.55x = 402,936.31
  5. Step 5: Solve for x
    x = 402,936.31/707.55
  6. Step 6: Final answer
    x = 569.48

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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.