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Finding the Fourth Proportional to 760.28, 1,139.28 and 434.93

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Solution

The fourth proportional to 760.28, 1,139.28 and 434.93 is: 651.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.28 : 1,139.28 = 434.93 : x
  2. Step 2: Convert to fraction form
    760.28/1,139.28 = 434.93/x
  3. Step 3: Cross multiply
    760.28x = 1,139.28 × 434.93
  4. Step 4: Simplify right side
    760.28x = 495,501.35
  5. Step 5: Solve for x
    x = 495,501.35/760.28
  6. Step 6: Final answer
    x = 651.74

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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.