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Finding the Fourth Proportional to 898.56, 1,240 and 505.59

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Solution

The fourth proportional to 898.56, 1,240 and 505.59 is: 697.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.56 : 1,240 = 505.59 : x
  2. Step 2: Convert to fraction form
    898.56/1,240 = 505.59/x
  3. Step 3: Cross multiply
    898.56x = 1,240 × 505.59
  4. Step 4: Simplify right side
    898.56x = 626,925.40
  5. Step 5: Solve for x
    x = 626,925.40/898.56
  6. Step 6: Final answer
    x = 697.70

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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.