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Finding the Fourth Proportional to 740.66, 1,111.14 and 432.77

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Solution

The fourth proportional to 740.66, 1,111.14 and 432.77 is: 649.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.66 : 1,111.14 = 432.77 : x
  2. Step 2: Convert to fraction form
    740.66/1,111.14 = 432.77/x
  3. Step 3: Cross multiply
    740.66x = 1,111.14 × 432.77
  4. Step 4: Simplify right side
    740.66x = 480,868.06
  5. Step 5: Solve for x
    x = 480,868.06/740.66
  6. Step 6: Final answer
    x = 649.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.