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Finding the Fourth Proportional to 469.61, 700.76 and 465.51

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Solution

The fourth proportional to 469.61, 700.76 and 465.51 is: 694.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.61 : 700.76 = 465.51 : x
  2. Step 2: Convert to fraction form
    469.61/700.76 = 465.51/x
  3. Step 3: Cross multiply
    469.61x = 700.76 × 465.51
  4. Step 4: Simplify right side
    469.61x = 326,210.79
  5. Step 5: Solve for x
    x = 326,210.79/469.61
  6. Step 6: Final answer
    x = 694.64

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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.