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Finding the Fourth Proportional to 1,027.42, 1,417.98 and 585.34

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Solution

The fourth proportional to 1,027.42, 1,417.98 and 585.34 is: 807.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.42 : 1,417.98 = 585.34 : x
  2. Step 2: Convert to fraction form
    1,027.42/1,417.98 = 585.34/x
  3. Step 3: Cross multiply
    1,027.42x = 1,417.98 × 585.34
  4. Step 4: Simplify right side
    1,027.42x = 830,000.41
  5. Step 5: Solve for x
    x = 830,000.41/1,027.42
  6. Step 6: Final answer
    x = 807.85

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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.