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Finding the Fourth Proportional to 1,019.66, 1,407.16 and 577.63

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Solution

The fourth proportional to 1,019.66, 1,407.16 and 577.63 is: 797.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.66 : 1,407.16 = 577.63 : x
  2. Step 2: Convert to fraction form
    1,019.66/1,407.16 = 577.63/x
  3. Step 3: Cross multiply
    1,019.66x = 1,407.16 × 577.63
  4. Step 4: Simplify right side
    1,019.66x = 812,817.83
  5. Step 5: Solve for x
    x = 812,817.83/1,019.66
  6. Step 6: Final answer
    x = 797.15

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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.