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Finding the Fourth Proportional to 1,027.42, 1,417.49 and 585.00

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Solution

The fourth proportional to 1,027.42, 1,417.49 and 585.00 is: 807.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.42 : 1,417.49 = 585.00 : x
  2. Step 2: Convert to fraction form
    1,027.42/1,417.49 = 585.00/x
  3. Step 3: Cross multiply
    1,027.42x = 1,417.49 × 585.00
  4. Step 4: Simplify right side
    1,027.42x = 829,235.14
  5. Step 5: Solve for x
    x = 829,235.14/1,027.42
  6. Step 6: Final answer
    x = 807.11

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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.