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Finding the Fourth Proportional to 761.47, 1,051.08 and 482.17

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Solution

The fourth proportional to 761.47, 1,051.08 and 482.17 is: 665.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.47 : 1,051.08 = 482.17 : x
  2. Step 2: Convert to fraction form
    761.47/1,051.08 = 482.17/x
  3. Step 3: Cross multiply
    761.47x = 1,051.08 × 482.17
  4. Step 4: Simplify right side
    761.47x = 506,799.24
  5. Step 5: Solve for x
    x = 506,799.24/761.47
  6. Step 6: Final answer
    x = 665.55

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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.