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Finding the Fourth Proportional to 840.57, 1,260 and 532.65

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Solution

The fourth proportional to 840.57, 1,260 and 532.65 is: 798.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.57 : 1,260 = 532.65 : x
  2. Step 2: Convert to fraction form
    840.57/1,260 = 532.65/x
  3. Step 3: Cross multiply
    840.57x = 1,260 × 532.65
  4. Step 4: Simplify right side
    840.57x = 671,139
  5. Step 5: Solve for x
    x = 671,139/840.57
  6. Step 6: Final answer
    x = 798.43

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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.