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Finding the Fourth Proportional to 898.30, 1,347.45 and 590.14

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Solution

The fourth proportional to 898.30, 1,347.45 and 590.14 is: 885.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.30 : 1,347.45 = 590.14 : x
  2. Step 2: Convert to fraction form
    898.30/1,347.45 = 590.14/x
  3. Step 3: Cross multiply
    898.30x = 1,347.45 × 590.14
  4. Step 4: Simplify right side
    898.30x = 795,184.14
  5. Step 5: Solve for x
    x = 795,184.14/898.30
  6. Step 6: Final answer
    x = 885.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.