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Finding the Fourth Proportional to 509.30, 702.77 and 312.76

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Solution

The fourth proportional to 509.30, 702.77 and 312.76 is: 431.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.30 : 702.77 = 312.76 : x
  2. Step 2: Convert to fraction form
    509.30/702.77 = 312.76/x
  3. Step 3: Cross multiply
    509.30x = 702.77 × 312.76
  4. Step 4: Simplify right side
    509.30x = 219,798.35
  5. Step 5: Solve for x
    x = 219,798.35/509.30
  6. Step 6: Final answer
    x = 431.57

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Find fourth proportional to 254.65, 351.39 and 156.38
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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.