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Finding the Fourth Proportional to 525.48, 783.64 and 460.78

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Solution

The fourth proportional to 525.48, 783.64 and 460.78 is: 687.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.48 : 783.64 = 460.78 : x
  2. Step 2: Convert to fraction form
    525.48/783.64 = 460.78/x
  3. Step 3: Cross multiply
    525.48x = 783.64 × 460.78
  4. Step 4: Simplify right side
    525.48x = 361,081.66
  5. Step 5: Solve for x
    x = 361,081.66/525.48
  6. Step 6: Final answer
    x = 687.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.