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Finding the Fourth Proportional to 1,020.16, 1,408.08 and 647.36

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Solution

The fourth proportional to 1,020.16, 1,408.08 and 647.36 is: 893.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.16 : 1,408.08 = 647.36 : x
  2. Step 2: Convert to fraction form
    1,020.16/1,408.08 = 647.36/x
  3. Step 3: Cross multiply
    1,020.16x = 1,408.08 × 647.36
  4. Step 4: Simplify right side
    1,020.16x = 911,534.67
  5. Step 5: Solve for x
    x = 911,534.67/1,020.16
  6. Step 6: Final answer
    x = 893.52

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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.