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Finding the Fourth Proportional to 1,021.32, 1,409.29 and 647.64

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Solution

The fourth proportional to 1,021.32, 1,409.29 and 647.64 is: 893.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.32 : 1,409.29 = 647.64 : x
  2. Step 2: Convert to fraction form
    1,021.32/1,409.29 = 647.64/x
  3. Step 3: Cross multiply
    1,021.32x = 1,409.29 × 647.64
  4. Step 4: Simplify right side
    1,021.32x = 912,710.96
  5. Step 5: Solve for x
    x = 912,710.96/1,021.32
  6. Step 6: Final answer
    x = 893.66

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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.