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Finding the Fourth Proportional to 898.06, 1,346.19 and 527.50

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Solution

The fourth proportional to 898.06, 1,346.19 and 527.50 is: 790.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.06 : 1,346.19 = 527.50 : x
  2. Step 2: Convert to fraction form
    898.06/1,346.19 = 527.50/x
  3. Step 3: Cross multiply
    898.06x = 1,346.19 × 527.50
  4. Step 4: Simplify right side
    898.06x = 710,115.23
  5. Step 5: Solve for x
    x = 710,115.23/898.06
  6. Step 6: Final answer
    x = 790.72

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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.