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Finding the Fourth Proportional to 526.97, 784.25 and 507.53

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Solution

The fourth proportional to 526.97, 784.25 and 507.53 is: 755.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.97 : 784.25 = 507.53 : x
  2. Step 2: Convert to fraction form
    526.97/784.25 = 507.53/x
  3. Step 3: Cross multiply
    526.97x = 784.25 × 507.53
  4. Step 4: Simplify right side
    526.97x = 398,031.73
  5. Step 5: Solve for x
    x = 398,031.73/526.97
  6. Step 6: Final answer
    x = 755.32

Related Problems

Find fourth proportional to 263.49, 392.12 and 253.77
Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.