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Finding the Fourth Proportional to 525.04, 782.98 and 460.34

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Solution

The fourth proportional to 525.04, 782.98 and 460.34 is: 686.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.04 : 782.98 = 460.34 : x
  2. Step 2: Convert to fraction form
    525.04/782.98 = 460.34/x
  3. Step 3: Cross multiply
    525.04x = 782.98 × 460.34
  4. Step 4: Simplify right side
    525.04x = 360,437.01
  5. Step 5: Solve for x
    x = 360,437.01/525.04
  6. Step 6: Final answer
    x = 686.49

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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.