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Finding the Fourth Proportional to 761.41, 1,050.71 and 512.69

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Solution

The fourth proportional to 761.41, 1,050.71 and 512.69 is: 707.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.41 : 1,050.71 = 512.69 : x
  2. Step 2: Convert to fraction form
    761.41/1,050.71 = 512.69/x
  3. Step 3: Cross multiply
    761.41x = 1,050.71 × 512.69
  4. Step 4: Simplify right side
    761.41x = 538,688.51
  5. Step 5: Solve for x
    x = 538,688.51/761.41
  6. Step 6: Final answer
    x = 707.49

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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.