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Finding the Fourth Proportional to 1,234.04, 1,702.76 and 710.24

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Solution

The fourth proportional to 1,234.04, 1,702.76 and 710.24 is: 980.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.04 : 1,702.76 = 710.24 : x
  2. Step 2: Convert to fraction form
    1,234.04/1,702.76 = 710.24/x
  3. Step 3: Cross multiply
    1,234.04x = 1,702.76 × 710.24
  4. Step 4: Simplify right side
    1,234.04x = 1,209,356.20
  5. Step 5: Solve for x
    x = 1,209,356.20/1,234.04
  6. Step 6: Final answer
    x = 980.00

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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.