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Finding the Fourth Proportional to 760.34, 1,139.72 and 435.06

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Solution

The fourth proportional to 760.34, 1,139.72 and 435.06 is: 652.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.34 : 1,139.72 = 435.06 : x
  2. Step 2: Convert to fraction form
    760.34/1,139.72 = 435.06/x
  3. Step 3: Cross multiply
    760.34x = 1,139.72 × 435.06
  4. Step 4: Simplify right side
    760.34x = 495,846.58
  5. Step 5: Solve for x
    x = 495,846.58/760.34
  6. Step 6: Final answer
    x = 652.14

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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.