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Finding the Fourth Proportional to 702.40, 964.40 and 570.40

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Solution

The fourth proportional to 702.40, 964.40 and 570.40 is: 783.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.40 : 964.40 = 570.40 : x
  2. Step 2: Convert to fraction form
    702.40/964.40 = 570.40/x
  3. Step 3: Cross multiply
    702.40x = 964.40 × 570.40
  4. Step 4: Simplify right side
    702.40x = 550,093.76
  5. Step 5: Solve for x
    x = 550,093.76/702.40
  6. Step 6: Final answer
    x = 783.16

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.