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Finding the Fourth Proportional to 750.76, 1,036.02 and 456.04

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Solution

The fourth proportional to 750.76, 1,036.02 and 456.04 is: 629.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.76 : 1,036.02 = 456.04 : x
  2. Step 2: Convert to fraction form
    750.76/1,036.02 = 456.04/x
  3. Step 3: Cross multiply
    750.76x = 1,036.02 × 456.04
  4. Step 4: Simplify right side
    750.76x = 472,466.56
  5. Step 5: Solve for x
    x = 472,466.56/750.76
  6. Step 6: Final answer
    x = 629.32

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Find fourth proportional to 375.38, 518.01 and 228.02
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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.