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Finding the Fourth Proportional to 702.78, 970.23 and 553.10

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Solution

The fourth proportional to 702.78, 970.23 and 553.10 is: 763.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.78 : 970.23 = 553.10 : x
  2. Step 2: Convert to fraction form
    702.78/970.23 = 553.10/x
  3. Step 3: Cross multiply
    702.78x = 970.23 × 553.10
  4. Step 4: Simplify right side
    702.78x = 536,636.51
  5. Step 5: Solve for x
    x = 536,636.51/702.78
  6. Step 6: Final answer
    x = 763.60

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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.