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Finding the Fourth Proportional to 1,056.96, 1,458.24 and 707.70

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Solution

The fourth proportional to 1,056.96, 1,458.24 and 707.70 is: 976.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.96 : 1,458.24 = 707.70 : x
  2. Step 2: Convert to fraction form
    1,056.96/1,458.24 = 707.70/x
  3. Step 3: Cross multiply
    1,056.96x = 1,458.24 × 707.70
  4. Step 4: Simplify right side
    1,056.96x = 1,031,996.45
  5. Step 5: Solve for x
    x = 1,031,996.45/1,056.96
  6. Step 6: Final answer
    x = 976.38

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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.