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Finding the Fourth Proportional to 898.30, 1,239.78 and 525.19

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Solution

The fourth proportional to 898.30, 1,239.78 and 525.19 is: 724.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.30 : 1,239.78 = 525.19 : x
  2. Step 2: Convert to fraction form
    898.30/1,239.78 = 525.19/x
  3. Step 3: Cross multiply
    898.30x = 1,239.78 × 525.19
  4. Step 4: Simplify right side
    898.30x = 651,120.06
  5. Step 5: Solve for x
    x = 651,120.06/898.30
  6. Step 6: Final answer
    x = 724.84

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Half scale
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Double scale
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1.5x scale

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.